次の式を因数分解しよう。
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【解答】
\def\MA{8x^2} \def\MBF{} \def\MB{-14x} \def\MCF{} \def\MC{-9} \def\SLA{2x} \def\SLF{+} \def\SLB{1} \def\SRA{4x} \def\SRF{} \def\SRB{-9} \def\SRALB{4x} \def\SLARB{-18x} \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}}} \begin{align*} \colMM{red}{\fbox{たすきがけ} } & \end{align*} \\ \begin{alignedat}{3} \colBX{bisque}{$\SLA$} & & \colBX{palegreen}{$\SLB$} && \colBX{palegreen}{$\SRALB$}\\ \colBX{palegreen}{$\SRA$} & & \colBX{bisque}{$\SRB$} && \colBX{bisque}{$\SLARB$}\\\hline \MA & & \MC && \MB\\ \colMM{red}{\bf 先頭} & & \colMM{red}{\bf 最後} && \colMM{red}{\bf 真ん中} \end{alignedat}\\ \\ \begin{align*} \colMM{red}{\fbox{Answer}}\\ & \MA\MBF\MB\MCF\MC = (\colBX{bisque}{$\SLA$}\SLF\colBX{palegreen}{$\SLB$})(\colBX{palegreen}{$\SRA$}\SRF\colBX{bisque}{$\SRB$}) \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\MA{2x^2} \def\MBF{+} \def\MB{xy} \def\MCF{} \def\MC{-6y^2} \def\SLA{x} \def\SLF{+} \def\SLB{2y} \def\SRA{2x} \def\SRF{} \def\SRB{-3y} \def\SRALB{4xy} \def\SLARB{-3xy} \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}}} \begin{align*} \colMM{red}{\fbox{たすきがけ} } & \end{align*} \\ \begin{alignedat}{3} \colBX{bisque}{$\SLA$} & & \colBX{palegreen}{$\SLB$} && \colBX{palegreen}{$\SRALB$}\\ \colBX{palegreen}{$\SRA$} & & \colBX{bisque}{$\SRB$} && \colBX{bisque}{$\SLARB$}\\\hline \MA & & \MC && \MB\\ \colMM{red}{\bf 先頭} & & \colMM{red}{\bf 最後} && \colMM{red}{\bf 真ん中} \end{alignedat}\\ \\ \begin{align*} \colMM{red}{\fbox{Answer}}\\ & \MA\MBF\MB\MCF\MC = (\colBX{bisque}{$\SLA$}\SLF\colBX{palegreen}{$\SLB$})(\colBX{palegreen}{$\SRA$}\SRF\colBX{bisque}{$\SRB$}) \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\MA{4x^2} \def\MBF{+} \def\MB{7x} \def\MCF{+} \def\MC{3} \def\SLA{x} \def\SLF{+} \def\SLB{1} \def\SRA{4x} \def\SRF{+} \def\SRB{3} \def\SRALB{4x} \def\SLARB{3x} \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}}} \begin{align*} \colMM{red}{\fbox{たすきがけ} } & \end{align*} \\ \begin{alignedat}{3} \colBX{bisque}{$\SLA$} & & \colBX{palegreen}{$\SLB$} && \colBX{palegreen}{$\SRALB$}\\ \colBX{palegreen}{$\SRA$} & & \colBX{bisque}{$\SRB$} && \colBX{bisque}{$\SLARB$}\\\hline \MA & & \MC && \MB\\ \colMM{red}{\bf 先頭} & & \colMM{red}{\bf 最後} && \colMM{red}{\bf 真ん中} \end{alignedat}\\ \\ \begin{align*} \colMM{red}{\fbox{Answer}}\\ & \MA\MBF\MB\MCF\MC = (\colBX{bisque}{$\SLA$}\SLF\colBX{palegreen}{$\SLB$})(\colBX{palegreen}{$\SRA$}\SRF\colBX{bisque}{$\SRB$}) \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\MA{12x^2} \def\MBF{+} \def\MB{xy} \def\MCF{} \def\MC{-6y^2} \def\SLA{3x} \def\SLF{} \def\SLB{-2y} \def\SRA{4x} \def\SRF{+} \def\SRB{3y} \def\SRALB{-8xy} \def\SLARB{9xy} \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}}} \begin{align*} \colMM{red}{\fbox{たすきがけ} } & \end{align*} \\ \begin{alignedat}{3} \colBX{bisque}{$\SLA$} & & \colBX{palegreen}{$\SLB$} && \colBX{palegreen}{$\SRALB$}\\ \colBX{palegreen}{$\SRA$} & & \colBX{bisque}{$\SRB$} && \colBX{bisque}{$\SLARB$}\\\hline \MA & & \MC && \MB\\ \colMM{red}{\bf 先頭} & & \colMM{red}{\bf 最後} && \colMM{red}{\bf 真ん中} \end{alignedat}\\ \\ \begin{align*} \colMM{red}{\fbox{Answer}}\\ & \MA\MBF\MB\MCF\MC = (\colBX{bisque}{$\SLA$}\SLF\colBX{palegreen}{$\SLB$})(\colBX{palegreen}{$\SRA$}\SRF\colBX{bisque}{$\SRB$}) \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\MA{2x^2} \def\MBF{+} \def\MB{9x} \def\MCF{+} \def\MC{4} \def\SLA{x} \def\SLF{+} \def\SLB{4} \def\SRA{2x} \def\SRF{+} \def\SRB{1} \def\SRALB{8x} \def\SLARB{x} \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}}} \begin{align*} \colMM{red}{\fbox{たすきがけ} } & \end{align*} \\ \begin{alignedat}{3} \colBX{bisque}{$\SLA$} & & \colBX{palegreen}{$\SLB$} && \colBX{palegreen}{$\SRALB$}\\ \colBX{palegreen}{$\SRA$} & & \colBX{bisque}{$\SRB$} && \colBX{bisque}{$\SLARB$}\\\hline \MA & & \MC && \MB\\ \colMM{red}{\bf 先頭} & & \colMM{red}{\bf 最後} && \colMM{red}{\bf 真ん中} \end{alignedat}\\ \\ \begin{align*} \colMM{red}{\fbox{Answer}}\\ & \MA\MBF\MB\MCF\MC = (\colBX{bisque}{$\SLA$}\SLF\colBX{palegreen}{$\SLB$})(\colBX{palegreen}{$\SRA$}\SRF\colBX{bisque}{$\SRB$}) \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\MA{3x^2} \def\MBF{} \def\MB{-10xy} \def\MCF{+} \def\MC{3y^2} \def\SLA{x} \def\SLF{} \def\SLB{-3y} \def\SRA{3x} \def\SRF{} \def\SRB{-y} \def\SRALB{-9xy} \def\SLARB{-xy} \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}}} \begin{align*} \colMM{red}{\fbox{たすきがけ} } & \end{align*} \\ \begin{alignedat}{3} \colBX{bisque}{$\SLA$} & & \colBX{palegreen}{$\SLB$} && \colBX{palegreen}{$\SRALB$}\\ \colBX{palegreen}{$\SRA$} & & \colBX{bisque}{$\SRB$} && \colBX{bisque}{$\SLARB$}\\\hline \MA & & \MC && \MB\\ \colMM{red}{\bf 先頭} & & \colMM{red}{\bf 最後} && \colMM{red}{\bf 真ん中} \end{alignedat}\\ \\ \begin{align*} \colMM{red}{\fbox{Answer}}\\ & \MA\MBF\MB\MCF\MC = (\colBX{bisque}{$\SLA$}\SLF\colBX{palegreen}{$\SLB$})(\colBX{palegreen}{$\SRA$}\SRF\colBX{bisque}{$\SRB$}) \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan
レベルG
次の式を因数分解せよ。
↓この問題へのリンクはこちら(右クリックで保存)
【解答】
\def\MA{6x^2} \def\MBF{+} \def\MB{17x} \def\MCF{} \def\MC{-14} \def\SLA{2x} \def\SLF{+} \def\SLB{7} \def\SRA{3x} \def\SRF{} \def\SRB{-2} \def\SRALB{21x} \def\SLARB{-4x} \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}}} \begin{align*} \colMM{red}{\fbox{たすきがけ} } & \end{align*} \\ \begin{alignedat}{3} \colBX{bisque}{$\SLA$} & & \colBX{palegreen}{$\SLB$} && \colBX{palegreen}{$\SRALB$}\\ \colBX{palegreen}{$\SRA$} & & \colBX{bisque}{$\SRB$} && \colBX{bisque}{$\SLARB$}\\\hline \MA & & \MC && \MB\\ \colMM{red}{\bf 先頭} & & \colMM{red}{\bf 最後} && \colMM{red}{\bf 真ん中} \end{alignedat}\\ \\ \begin{align*} \colMM{red}{\fbox{Answer}}\\ & \MA\MBF\MB\MCF\MC = (\colBX{bisque}{$\SLA$}\SLF\colBX{palegreen}{$\SLB$})(\colBX{palegreen}{$\SRA$}\SRF\colBX{bisque}{$\SRB$}) \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\MA{3x^2} \def\MBF{} \def\MB{-2x} \def\MCF{} \def\MC{-8} \def\SLA{3x} \def\SLF{+} \def\SLB{4} \def\SRA{x} \def\SRF{} \def\SRB{-2} \def\SRALB{4x} \def\SLARB{-6x} \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}}} \begin{align*} \colMM{red}{\fbox{たすきがけ} } & \end{align*} \\ \begin{alignedat}{3} \colBX{bisque}{$\SLA$} & & \colBX{palegreen}{$\SLB$} && \colBX{palegreen}{$\SRALB$}\\ \colBX{palegreen}{$\SRA$} & & \colBX{bisque}{$\SRB$} && \colBX{bisque}{$\SLARB$}\\\hline \MA & & \MC && \MB\\ \colMM{red}{\bf 先頭} & & \colMM{red}{\bf 最後} && \colMM{red}{\bf 真ん中} \end{alignedat}\\ \\ \begin{align*} \colMM{red}{\fbox{Answer}}\\ & \MA\MBF\MB\MCF\MC = (\colBX{bisque}{$\SLA$}\SLF\colBX{palegreen}{$\SLB$})(\colBX{palegreen}{$\SRA$}\SRF\colBX{bisque}{$\SRB$}) \end{align*} %1 orange,bisque %2 green,palegreen %3 magenta, violet %4 deepskyblue, lightcyan