組立除法

ただいま作成中

私の授業で使いながら問題を増やしているため、完成するまでに時間がかかりそうです。少しずつ問題を増やしたり、ポイント解説を付けたりしていきます。無限の彼方で完成する日を、どうぞご期待ください。

Happy Math-ing!

未完成でもよければ、使ってやってください。😃

組立除法を用いて,次の整式を[ ]内の1次式で割った商と余りを求めよ。

この問題へのリンクはこちら(右クリックで保存)

【解答】

\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}

\begin{align*}
& \colFB{red}{準備}\ \colMM{green}{\bf\ 係数を取り出す}\\
& \begin{matrix}
& \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
& \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
& \colMM{orange}{\Darr} & & \\\hline
& \colBX{bisque}{$\va$}\\
\end{matrix}
\\
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.2}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\va$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\ka$} & & \colBX{palegreen}{$\ka$}& \\\hline
& \colBX{bisque}{$\va$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.3}& \va & \colBX{violet}{$\vb$} & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \colBX{violet}{$\ka$}& \\\hline
& \va & \colBX{violet}{$\tb$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.4}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\tb$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\kb$} & & \ka & \colBX{palegreen}{$\kb$}& \\\hline
& \va & \colBX{bisque}{$\tb$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.5}& \va & \vb & \colBX{violet}{$\vc$} & \vd & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \colBX{violet}{$\kb$}& \\\hline
& \va & \tb & \colBX{violet}{$\tc$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.6}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\tc$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\kc$} & & \ka & \kb & \colBX{palegreen}{$\kc$}& \\\hline
& \va & \tb & \colBX{bisque}{$\tc$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.7}& \va & \vb & \vc & \colBX{violet}{$\vd$} & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \kb & \colBX{violet}{$\kc$}& \\\hline
& \va & \tb & \tc & \colFR{red}{\colBX{violet}{$\td$}} & \colMM{red}{\Leftarrow 余り}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}

\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{align*}
& \colFB{red}{準備}\ \colMM{green}{\bf 係数を取り出す}\\
& \begin{matrix}
\va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & \colMM{red}{\Darr}\\
\va & \vb & \vc & \colBX{violet}{$\vd$} & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \kb & \colBX{violet}{$\kc$}& \\\hline
& \va & \tb & \tc & \colFR{red}{\colBX{violet}{$\td$}} & \colMM{red}{\Leftarrow 余り}\\
& \colMM{red}{\Darr} & \colMM{red}{\Darr} & \colMM{red}{\Darr}\\
& \va x^2 & \tb x & \tc\\
\end{matrix}
\\
\colFB{red}{Answer} & \ \colFR{black}{\scriptsize\bf 商}\ \va x^2 \tbf\tb x \tcf\tc\\
& \ \colFR{black}{\scriptsize\bf 余}\ \td
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

この問題へのリンクはこちら(右クリックで保存)

【解答】

\def\va{1}
\def\vbf{}\def\vb{-2}
\def\vcf{+}\def\vc{3}
\def\vdf{}\def\vd{-9}
\def\wsiki{x-3}
\def\ws{3}
\def\ka{3}
\def\tbf{+}\def\tb{1}
\def\kb{3}
\def\tcf{+}\def\tc{6}
\def\kc{18}
\def\td{9}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
        & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.1}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{先頭をおろす}& \colMM{orange}{\Darr} & & \\\hline
& \colBX{bisque}{$\va$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-2}
\def\vcf{+}\def\vc{3}
\def\vdf{}\def\vd{-9}
\def\wsiki{x-3}
\def\ws{3}
\def\ka{3}
\def\tbf{+}\def\tb{1}
\def\kb{3}
\def\tcf{+}\def\tc{6}
\def\kc{18}
\def\td{9}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.2}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\va$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\ka$} & & \colBX{palegreen}{$\ka$}& \\\hline
& \colBX{bisque}{$\va$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

\def\va{1}
\def\vbf{}\def\vb{-2}
\def\vcf{+}\def\vc{3}
\def\vdf{}\def\vd{-9}
\def\wsiki{x-3}
\def\ws{3}
\def\ka{3}
\def\tbf{+}\def\tb{1}
\def\kb{3}
\def\tcf{+}\def\tc{6}
\def\kc{18}
\def\td{9}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.3}& \va & \colBX{violet}{$\vb$} & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \colBX{violet}{$\ka$}& \\\hline
& \va & \colBX{violet}{$\tb$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-2}
\def\vcf{+}\def\vc{3}
\def\vdf{}\def\vd{-9}
\def\wsiki{x-3}
\def\ws{3}
\def\ka{3}
\def\tbf{+}\def\tb{1}
\def\kb{3}
\def\tcf{+}\def\tc{6}
\def\kc{18}
\def\td{9}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.4}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\tb$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\kb$} & & \ka & \colBX{palegreen}{$\kb$}& \\\hline
& \va & \colBX{bisque}{$\tb$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-2}
\def\vcf{+}\def\vc{3}
\def\vdf{}\def\vd{-9}
\def\wsiki{x-3}
\def\ws{3}
\def\ka{3}
\def\tbf{+}\def\tb{1}
\def\kb{3}
\def\tcf{+}\def\tc{6}
\def\kc{18}
\def\td{9}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.5}& \va & \vb & \colBX{violet}{$\vc$} & \vd & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \colBX{violet}{$\kb$}& \\\hline
& \va & \tb & \colBX{violet}{$\tc$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-2}
\def\vcf{+}\def\vc{3}
\def\vdf{}\def\vd{-9}
\def\wsiki{x-3}
\def\ws{3}
\def\ka{3}
\def\tbf{+}\def\tb{1}
\def\kb{3}
\def\tcf{+}\def\tc{6}
\def\kc{18}
\def\td{9}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.6}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\tc$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\kc$} & & \ka & \kb & \colBX{palegreen}{$\kc$}& \\\hline
& \va & \tb & \colBX{bisque}{$\tc$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-2}
\def\vcf{+}\def\vc{3}
\def\vdf{}\def\vd{-9}
\def\wsiki{x-3}
\def\ws{3}
\def\ka{3}
\def\tbf{+}\def\tb{1}
\def\kb{3}
\def\tcf{+}\def\tc{6}
\def\kc{18}
\def\td{9}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.7}& \va & \vb & \vc & \colBX{violet}{$\vd$} & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \kb & \colBX{violet}{$\kc$}& \\\hline
& \va & \tb & \tc & \colFR{red}{\colBX{violet}{$\td$}} & \colMM{red}{\Leftarrow 余り}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-2}
\def\vcf{+}\def\vc{3}
\def\vdf{}\def\vd{-9}
\def\wsiki{x-3}
\def\ws{3}
\def\ka{3}
\def\tbf{+}\def\tb{1}
\def\kb{3}
\def\tcf{+}\def\tc{6}
\def\kc{18}
\def\td{9}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.7}& \va & \vb & \vc & \colBX{violet}{$\vd$} & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \kb & \colBX{violet}{$\kc$}& \\\hline
& \va & \tb & \tc & \colFR{red}{\colBX{violet}{$\td$}} & \colMM{red}{\Leftarrow 余り}\\
& \colMM{red}{\Darr} & \colMM{red}{\Darr} & \colMM{red}{\Darr}\\
& \va x^2 & \tb x & \tc\\
\end{matrix}
\\
\begin{align*}\\
\colFB{red}{Answer} & \ \colFR{black}{\scriptsize\bf 商}\ \va x^2 \tbf\tb x \tcf\tc\\
& \ \colFR{black}{\scriptsize\bf 余}\ \td
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

この問題へのリンクはこちら(右クリックで保存)

【解答】

\def\va{1}
\def\vbf{}\def\vb{-3}
\def\vcf{+}\def\vc{4}
\def\vdf{}\def\vd{-4}
\def\wsiki{x-1}
\def\ws{1}
\def\ka{1}
\def\tbf{}\def\tb{-2}
\def\kb{-2}
\def\tcf{+}\def\tc{2}
\def\kc{2}
\def\td{-2}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
        & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.1}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{先頭をおろす}& \colMM{orange}{\Darr} & & \\\hline
& \colBX{bisque}{$\va$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-3}
\def\vcf{+}\def\vc{4}
\def\vdf{}\def\vd{-4}
\def\wsiki{x-1}
\def\ws{1}
\def\ka{1}
\def\tbf{}\def\tb{-2}
\def\kb{-2}
\def\tcf{+}\def\tc{2}
\def\kc{2}
\def\td{-2}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.2}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\va$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\ka$} & & \colBX{palegreen}{$\ka$}& \\\hline
& \colBX{bisque}{$\va$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

\def\va{1}
\def\vbf{}\def\vb{-3}
\def\vcf{+}\def\vc{4}
\def\vdf{}\def\vd{-4}
\def\wsiki{x-1}
\def\ws{1}
\def\ka{1}
\def\tbf{}\def\tb{-2}
\def\kb{-2}
\def\tcf{+}\def\tc{2}
\def\kc{2}
\def\td{-2}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.3}& \va & \colBX{violet}{$\vb$} & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \colBX{violet}{$\ka$}& \\\hline
& \va & \colBX{violet}{$\tb$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-3}
\def\vcf{+}\def\vc{4}
\def\vdf{}\def\vd{-4}
\def\wsiki{x-1}
\def\ws{1}
\def\ka{1}
\def\tbf{}\def\tb{-2}
\def\kb{-2}
\def\tcf{+}\def\tc{2}
\def\kc{2}
\def\td{-2}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.4}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\tb$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\kb$} & & \ka & \colBX{palegreen}{$\kb$}& \\\hline
& \va & \colBX{bisque}{$\tb$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-3}
\def\vcf{+}\def\vc{4}
\def\vdf{}\def\vd{-4}
\def\wsiki{x-1}
\def\ws{1}
\def\ka{1}
\def\tbf{}\def\tb{-2}
\def\kb{-2}
\def\tcf{+}\def\tc{2}
\def\kc{2}
\def\td{-2}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.5}& \va & \vb & \colBX{violet}{$\vc$} & \vd & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \colBX{violet}{$\kb$}& \\\hline
& \va & \tb & \colBX{violet}{$\tc$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-3}
\def\vcf{+}\def\vc{4}
\def\vdf{}\def\vd{-4}
\def\wsiki{x-1}
\def\ws{1}
\def\ka{1}
\def\tbf{}\def\tb{-2}
\def\kb{-2}
\def\tcf{+}\def\tc{2}
\def\kc{2}
\def\td{-2}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.6}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\tc$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\kc$} & & \ka & \kb & \colBX{palegreen}{$\kc$}& \\\hline
& \va & \tb & \colBX{bisque}{$\tc$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-3}
\def\vcf{+}\def\vc{4}
\def\vdf{}\def\vd{-4}
\def\wsiki{x-1}
\def\ws{1}
\def\ka{1}
\def\tbf{}\def\tb{-2}
\def\kb{-2}
\def\tcf{+}\def\tc{2}
\def\kc{2}
\def\td{-2}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.7}& \va & \vb & \vc & \colBX{violet}{$\vd$} & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \kb & \colBX{violet}{$\kc$}& \\\hline
& \va & \tb & \tc & \colFR{red}{\colBX{violet}{$\td$}} & \colMM{red}{\Leftarrow 余り}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-3}
\def\vcf{+}\def\vc{4}
\def\vdf{}\def\vd{-4}
\def\wsiki{x-1}
\def\ws{1}
\def\ka{1}
\def\tbf{}\def\tb{-2}
\def\kb{-2}
\def\tcf{+}\def\tc{2}
\def\kc{2}
\def\td{-2}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.7}& \va & \vb & \vc & \colBX{violet}{$\vd$} & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \kb & \colBX{violet}{$\kc$}& \\\hline
& \va & \tb & \tc & \colFR{red}{\colBX{violet}{$\td$}} & \colMM{red}{\Leftarrow 余り}\\
& \colMM{red}{\Darr} & \colMM{red}{\Darr} & \colMM{red}{\Darr}\\
& \va x^2 & \tb x & \tc\\
\end{matrix}
\\
\begin{align*}\\
\colFB{red}{Answer} & \ \colFR{black}{\scriptsize\bf 商}\ \va x^2 \tbf\tb x \tcf\tc\\
& \ \colFR{black}{\scriptsize\bf 余}\ \td
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

この問題へのリンクはこちら(右クリックで保存)

【解答】

\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}

\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
        & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.1}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{先頭をおろす}& \colMM{orange}{\Darr} & & \\\hline
& \colBX{bisque}{$\va$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}

\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.2}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\va$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\ka$} & & \colBX{palegreen}{$\ka$}& \\\hline
& \colBX{bisque}{$\va$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}

\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.3}& \va & \colBX{violet}{$\vb$} & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \colBX{violet}{$\ka$}& \\\hline
& \va & \colBX{violet}{$\tb$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}

\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.4}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\tb$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\kb$} & & \ka & \colBX{palegreen}{$\kb$}& \\\hline
& \va & \colBX{bisque}{$\tb$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}

\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.5}& \va & \vb & \colBX{violet}{$\vc$} & \vd & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \colBX{violet}{$\kb$}& \\\hline
& \va & \tb & \colBX{violet}{$\tc$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}

\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.6}& \va & \vb & \vc & \vd & \colBX{mistyrose}{$\ws$}\\
\colBX{bisque}{\scriptsize$\tc$}\colMM{black}{\times}\colBX{mistyrose}{\scriptsize$\ws$}\colMM{black}{=}\colBX{palegreen}{$\kc$} & & \ka & \kb & \colBX{palegreen}{$\kc$}& \\\hline
& \va & \tb & \colBX{bisque}{$\tc$}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}

\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.7}& \va & \vb & \vc & \colBX{violet}{$\vd$} & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \kb & \colBX{violet}{$\kc$}& \\\hline
& \va & \tb & \tc & \colFR{red}{\colBX{violet}{$\td$}} & \colMM{red}{\Leftarrow 余り}\\
\end{matrix}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
\def\va{1}
\def\vbf{}\def\vb{-4}
\def\vcf{+}\def\vc{1}
\def\vdf{+}\def\vd{6}
\def\wsiki{x+1}
\def\ws{-1}
\def\ka{-1}
\def\tbf{}\def\tb{-5}
\def\kb{5}
\def\tcf{+}\def\tc{6}
\def\kc{-6}
\def\td{0}

\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\color{#1}\scriptsize #2\color{black}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\newcommand\colFB[2]{\textcolor{#1}{\fbox{\scriptsize\bf\color{#1}#2}}}
\begin{matrix}
         & \va x^3 & \vbf\vb x^2 & \vcf\vc x & \vdf\vd & \colMM{red}{\wsiki=0}\\
\colMM{green}{\bf 係数取り出す} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{green}{\Darr} & \colMM{red}{x = \ws}\\
& & & & & \colMM{red}{\Darr}\\
\colFB{red}{Step.7}& \va & \vb & \vc & \colBX{violet}{$\vd$} & \colBX{mistyrose}{$\ws$}\\
\colMM{red}{たす} & & \ka & \kb & \colBX{violet}{$\kc$}& \\\hline
& \va & \tb & \tc & \colFR{red}{\colBX{violet}{$\td$}} & \colMM{red}{\Leftarrow 余り}\\
& \colMM{red}{\Darr} & \colMM{red}{\Darr} & \colMM{red}{\Darr}\\
& \va x^2 & \tb x & \tc\\
\end{matrix}
\\
\begin{align*}\\
\colFB{red}{Answer} & \ \colFR{black}{\scriptsize\bf 商}\ \va x^2 \tbf\tb x \tcf\tc\\
& \ \colFR{black}{\scriptsize\bf 余}\ \td
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan

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