\documentclass[12pt, a4paper]{exam}%answers,addpoints, answers,
\usepackage[left=2.5cm,right=0.5cm,top=0cm,bottom=1cm]{geometry}   % Set page margins
\usepackage[french]{babel}
\usepackage{fontspec}
\usepackage{calligra} % For calligraphy font
\usepackage[T1]{fontenc}
\usepackage{amsmath, amssymb}
\usepackage{tikz} % For drawing the vertical line
\usetikzlibrary{shapes,decorations.text}
\usetikzlibrary{decorations.pathmorphing,shadows}
\usepackage{xcolor}
\usepackage{setspace}
\usepackage[ddmmyyyy]{datetime}
\usepackage{xparse} % Required for advanced argument parsing

\pointname{}
\pointformat{\textbf{\textit{(\thepoints)}}}

% Exam settings
\pointsinmargin
%\colorfillwithlines
%\definecolor{FillWithLinesColor}{gray}{0.8}
\colorfillwithdottedlines
\definecolor{FillWithDottedLinesColor}{gray}{0.7}
\unframedsolutions
\renewcommand{\solutiontitle}{\noindent\textbf{}\enspace}
\SolutionEmphasis{\itshape\small}
\SolutionEmphasis{\color{red}\bfseries}

\newcommand{\tb}{\tikz[baseline=-0.6ex]{\fill (0,0) circle (2pt);}~}

\newcommand{\ccc}[1]{
    \begin{tikzpicture}[overlay, remember picture]
	    \node[circle, inner sep=3pt, draw=black, outer sep=0pt] at (0.5,0.2) {#1};
    \end{tikzpicture}
}

\newcommand{\luck}[1]{
    \begin{tikzpicture}[overlay, remember picture]
	    \node[] at (#1) {\scalebox{2}{\textbf{\textcolor{blue}{\calligra Good Luck!}}}};
      %rotate=25
    \end{tikzpicture}
}

\NewDocumentCommand{\sticker}{O{6.5} O{-10} m m}{%
  \begin{tikzpicture}[overlay, remember picture, shift={(#3)}]
    % Rectangle with wavy border and text node
    \node[
        shape=rectangle, % Rectangle shape
        decorate,
        decoration={random steps, segment length=2mm, amplitude=1.5mm}, % Wavy effect
        fill=cyan!20, % Background color
        draw=red, % Border color
        line width=1pt, % Border thickness
        inner sep=5pt, % Padding between text and border
        text width=#1, % Width of the text box
        align=center, % Center the text
        rotate=#2, % Rotation angle
    ] (sticker) at (0, 0) { % Position of the sticker
        #4
    };

    % Label
    \node[] at ([xshift=0.5cm]sticker.north west) {
       \includegraphics[width=0.9cm]{pin.png}
    };
  \end{tikzpicture}%
}



\newcommand{\dangericon}{%
    \tikz[baseline=-0.5ex]{
        \draw[draw=red, line width=1mm] (0,0.5) -- (0.7,-0.6) -- (-0.7,-0.6) -- cycle;
        \node[inner sep=0pt, font=\bfseries, scale=2] at (-0.05,-0.2) {!};
    }%
}

\newcommand{\stamp}[2]{
\begin{tikzpicture}[remember picture, overlay]
\coordinate (A) at (#1,#2);
\draw[red!50] (A) circle (1.9cm);
% Draw the inner circle
\draw[red!50] (A) circle (1.4cm);
% Draw the curved line
\draw[red!50, decorate, decoration={text along path,
	text={|\fontspec{DejaVu Sans}\color{red!75}\bfseries|★MOSAID RADOUAN★},
	text align={align=center}, raise=-3pt}] (A) ++ (180:1.6cm) arc (180:0:1.6cm);
\draw[decorate, decoration={text along path,
	text={|\fontspec{DejaVu Sans}\color{red!75}\bfseries|∞★~mosaid.xyz~★∞ },
	text align={align=center}, raise=-6.5pt}] (A) ++ (180:1.53cm) arc (-180:0:1.53cm);
\node[red!75,font=\fontsize{48}{48}\fontspec{DejaVu Sans}\bfseries\selectfont] at (A) {✷};
\end{tikzpicture}
}

\newcommand{\borders}{%
  \tikz[remember picture, overlay, xshift=-0.5cm]{
    \ifprintanswers
        \def\bheight{-28}
    \else
        \def\bheight{-14}
    \fi
    \draw[gray, thick] (0.5,-1.2) -- (0.5,\bheight);
    \draw[gray, thick] (0.5,-1.2) -- (\textwidth,-1.2);
    \node[black] at (0.5,-0.25) {\textbf{TCSF}};
    \node[magenta] at (1.6,-0.6) {\textbf{www.mosaid.xyz}};
    \node[black,xshift=-2cm] at (\textwidth,-0.25) {\textbf{\today}};
    \node[black,xshift=-2cm] (A) at (\textwidth,-0.9)  {\textbf{Prof : MOSAID}};
    \node[black,xshift=-0.5cm] at (0.5\textwidth,-0.5) {
        \ifprintanswers
            \textbf{Correction Contrôl n$^\circ$3/2h}
        \else
            \textbf{Contrôl n$^\circ$3/2h}
        \fi
        \ccc{A}
    };
    \draw[gray, thick] (A.south west) -- ++(0,0.7) -- ++(3.8,0) ;
    \node[magenta] at (0.9\textwidth,-1.4) {\textbf{www.mosaid.xyz}};
  }%
}

\newcommand{\exo}[1]{%
    \begin{tikzpicture}
        % Node for the text
        \node[] (text) at (0,0) {\textbf{#1}};
        % Shadow (calculated based on the text width)
        \fill[black] ([xshift=0.1cm, yshift=-0.1cm]text.south west)
                     rectangle ([xshift=0.1cm, yshift=-0.1cm]text.north east);
        % Main box (calculated based on the text width)
        \draw[fill=white] (text.south west) rectangle (text.north east);
        % Text inside the box
        \node[] at (text) {\textbf{#1}};
    \end{tikzpicture}%
}

%\footer{}{Page \thepage\ of \numpages}{}

\everymath{\displaystyle}
\setstretch{1.2}
\newenvironment{mycontent}{%
\noindent
\borders\\[1.5cm]
\noindent
\exo{Exercice 1: (\textit{15.5 pts}) }
\begin{questions}
  \question[1+2+1]
  Résoudre dans ~$\mathbb{R}$~  les équations et inéquation suivantes.\\
  \tb ~$\frac{2x-1}{2}+\frac{3x-2}{4}=20-\frac{5x}{7}$~ \hspace*{1cm}
  \tb ~$|2x-6|+|x+6|=5$~ \hspace*{1cm}
  \tb ~$|2x-3|<5$~
  \question
    Soit le polynome ~$P(x)=2x^3-5x^2-x+6$~
  \begin{parts}
    \part[2]
    Résoudre dans ~$\mathbb{R}$~ l'équation ~$2x^2-7x+6=0$~
    \part[2]
    Calculer ~$P(1)$~ et ~$P(-1)$~
    \part[2.5]
    En utilisant une division euclidienne, factoriser ~$P(x)$~
    \part[2]
    Ecrire ~$P(x)$~ sous forme d'un produit de binomes
    \part[1+2]
    Résoudre ~$P(x)=0$~ et ~$P(x)>0$~
  \end{parts}
\end{questions}
\exo{Exercice 2: (\textit{5 pts}) }\\
\stamp{15}{2}
\luck{14,-1}
\indent Soit le polynome \(P(x)=-2x^3-x^2+8x+4\)
\begin{questions}
  \question[0.5]
	Vérifiez que \(-2\) est une racine du polynome \(P(x)\)
  \question[2]
	En effectuant la division euclidienne de \(P(x)\) par \(x+2\)\\
	Déterminez un polynome \(Q(x)\) tel que \(P(x)=(x+2)Q(x)\)
  \question[0.5]
	Vérifiez que \(\frac{-1}{2}\) est une racine du polynome \(Q(x)\)
  \question[2]
  Factoriser \(Q(x)\) puis \(P(x)\).\hspace*{1cm}
	Résoudre \(x\in \mathbb{R}\quad P(x) \le 0\)
\end{questions}
}% end newenvironment

\begin{document}
  \ifprintanswers
    \begin{mycontent}\end{mycontent}
  \else
      %
  \fi
 % \newpage
  \noprintanswers
	\begin{mycontent}\end{mycontent}
  .\\
  \begin{mycontent}\end{mycontent}
\end{document}