割られる式 A を求めよう
次の条件を満たす整式 A 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）
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
\colBX{bisque}{$A$}\ を &\ \colBX{palegreen}{$B$}\ で割ると，商が\ \colBX{violet}{$Q$}，余りが\ \colBX{lightcyan}{$R$}\\
\\
& \colNS{red}{\Darr\ ４つの要素がそろった！}\\
\\
\Large \colBX{bisque}{$A$} & \Large = \colBX{palegreen}{$B$} \times \colBX{violet}{$Q$} + \colBX{lightcyan}{$R$}
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan【解答】
\def\B{x-1}
\def\Q{x^2-x+1}
\def\R{5}
\def\Tenkai{x^3-x^2+x-x^2+x-1}
\def\Kotae{x^3-2x^2+2x+4}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
整式 & \ \colBX{bisque}{$A$}\ を \ \colBX{palegreen}{$\B$}\ で割ると，\\
& 商が\ \colBX{violet}{$\Q$}，余りが\ \colBX{lightcyan}{$\R$}\ であるから\\
\\
\colBX{bisque}{$A$} = & (\colBX{palegreen}{$\B$})(\colBX{violet}{$\Q$})+\colBX{lightcyan}{$\R$}\\
\\
= & \Tenkai +\R\\
\\
= & \Kotae
\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）
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
\colBX{bisque}{$A$}\ を &\ \colBX{palegreen}{$B$}\ で割ると，商が\ \colBX{violet}{$Q$}，余りが\ \colBX{lightcyan}{$R$}\\
\\
& \colNS{red}{\Darr\ ４つの要素がそろった！}\\
\\
\Large \colBX{bisque}{$A$} & \Large = \colBX{palegreen}{$B$} \times \colBX{violet}{$Q$} + \colBX{lightcyan}{$R$}
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan【解答】
\def\B{x+2}
\def\Q{x+3}
\def\R{-1}
\def\Tenkai{x^2+5x+6}
\def\Kotae{x^2+5x+5}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
整式 & \ \colBX{bisque}{$A$}\ を \ \colBX{palegreen}{$\B$}\ で割ると，\\
& 商が\ \colBX{violet}{$\Q$}，余りが\ \colBX{lightcyan}{$\R$}\ であるから\\
\\
\colBX{bisque}{$A$} = & (\colBX{palegreen}{$\B$})(\colBX{violet}{$\Q$})\colBX{lightcyan}{$\R$}\\
\\
= & \Tenkai \R\\
\\
= & \Kotae
\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）
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
\colBX{bisque}{$A$}\ を &\ \colBX{palegreen}{$B$}\ で割ると，商が\ \colBX{violet}{$Q$}，余りが\ \colBX{lightcyan}{$R$}\\
\\
& \colNS{red}{\Darr\ ４つの要素がそろった！}\\
\\
\Large \colBX{bisque}{$A$} & \Large = \colBX{palegreen}{$B$} \times \colBX{violet}{$Q$} + \colBX{lightcyan}{$R$}
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan【解答】
\def\B{x^2+2x+3}
\def\Q{x-1}
\def\R{2x+3}
\def\Tenkai{x^3-x^2+2x^2-2x+3x-3}
\def\Kotae{x^3+x^2+3x}
\newcommand\colNS[2]{\color{#1}#2\color{black}}
\newcommand\colUL[2]{\textcolor{#1}{\underline{\color{black}#2}}}
\newcommand\colMM[2]{\textcolor{#1}{\scriptsize\bf\bm #2}}
\newcommand\colBX[2]{\colorbox{#1}{#2}}
\newcommand\colFR[2]{\textcolor{#1}{\fbox{\color{black}#2}}}
\begin{align*}
整式 & \ \colBX{bisque}{$A$}\ を \ \colBX{palegreen}{$\B$}\ で割ると，\\
& 商が\ \colBX{violet}{$\Q$}，余りが\ \colBX{lightcyan}{$\R$}\ であるから\\
\\
\colBX{bisque}{$A$} = & (\colBX{palegreen}{$\B$})(\colBX{violet}{$\Q$}) + \colBX{lightcyan}{$\R$}\\
\\
= & \Tenkai + \R\\
\\
= & \Kotae
\end{align*}
%1 orange,bisque
%2 green,palegreen
%3 magenta, violet
%4 deepskyblue, lightcyan
