\documentclass[12pt,a4paper]{article}

\usepackage[francais]{babel}
\input{../../../../latex_base/divers.tex}


\begin{document}
\noindent GYMNASE DE BURIER  \hfill  MATHEMATIQUES\\
\hrule
\noindent {\bfseries Factorisation V} \rule[-1.5ex]{0pt}{5ex}\hfill 2C
\hrule

\vspace{6ex}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\textbf{Résoudre les équations par factorisation}
\vspace{1cm}

\begin{multicols}{2}

\begin{enumerate}[label = \alph*)]
\item $4x^2 - 8x - 60 = 0$\\
\item $12x^3 - x^4 - 36x^2 = 0$\\
\item $x^3 + 7x^2 - 4x - 28 = 0$\\
\item $x^{10}-16x^8=15x^9$\\
\item $27x^3 - 108x^2 + 144x - 64 = 0$\\
\item $6x^2+11x = 35$\\
\item $ 20x^2 - 2x^3 - 50x = 0$\\
\item $x^4+x^3 - 27x - 27 = 0$\\
\item $x^4+50x^2+625 = 0$\\
\item $9x^2+27 = x^3 + 27x$\\
\item $5x^3 + 12x^2 -10x = 12x^2 +10x$\\
\item $2x^3 +6x^2 -12x -36 = (x+3)^2$\\
\item $x^3+5x = 2x^2 + 40x$\\
\item $3+2x+x(8x^2-3x) = 30-70x$\\
\item $x^3 = 6x $\\
\item $10x^3 +48x^2 + 10 = 2x^3 - 96x - 54$\\
\item $(2x)^2 = x-1$\\
\item $x^5 +8x^2 = 4x^3 + 32$\\
\end{enumerate}
\end{multicols}


\pagebreak


\vspace{5mm}
\textbf{Réponses}
\vspace{1cm}
\begin{multicols}{2}

\begin{enumerate}[label = \alph*)]
\item $S = \left\{-3\ ;\  5 \right\} $\\					%1
\item $S = \left\{0\ ;\  6 \right\} $\\						%2
\item $S = \left\{-7\ ; -2\ ;\ 2 \right\} $\\					%3
\item $S = \left\{-1\ ;\  0\ ;\  16 \right\} $\\				%4
\item $S = \left\{\dfrac{4}{3} \right\} $\\					%5
\item $S = \left\{-\dfrac{7}{2}\ ;\ \dfrac{5}{3}\right\} $\\		%6
\item $S = \left\{0\ ;\ 5\right\} $\\						%7
\item $S = \left\{-1\ ;\ 3\right\} $\\						%8
\item $S = \emptyset $\\							%9
\item $S = \left\{3 \right\} $\\						%10
\item $S = \left\{-2\ ;\ 0\ ;\ 2 \right\} $\\					%11
\item $S = \left\{-3\ ; -\dfrac{5}{2} \ ;\ 3\right\} $\\			%12
\item $S = \left\{-5\ ;\ 0\ ;\ 7 \right\} $\\					%13
\item $S = \left\{\dfrac{3}{8}\right\} $\\					%14
\item $S = \left\{- \sqrt{6}\ ;\  0\ ;\  \sqrt{6} \right\} $\\	
\item $S = \left\{-2 \right\} $\\		%16
\item $S = \emptyset $\\							%17
\item $S = \left\{-2\ ;\ 2 \right\} $\\					%18


\end{enumerate}
\end{multicols}

\vfill
\hrule
\rule{0pt}{3ex}\hfill GIL
\end{document}

