Suppose \( f \) is a polynomial function whose graph has the following properties: 1. the graph bounces off of the \( x \)-axis at \( x=1 \) 2. the graph passes straight through the x - axis at \( x=2 \) 3. the graph swivels through the x-axis at \( x=3 \) Complete the expression of the function below: \( f(x)=\left(x-x_{1}\right)\left(x-x_{2}\right)^{2}\left(x-x_{3}\right)^{3} \) \( x_{1}=\square \) \( x_{2}=\square \) \( x_{3}=\square \)

justifiant votre riponse \( \mathrm{A}^{\prime \prime}=-2^{3} \times(-5)^{2} \) \( B^{\prime \prime}=\left(\frac{2}{-3}\right)^{4} \times\left(-\frac{1}{2}\right)^{7} \times(-1)^{135} \) \( C^{\prime \prime}=-(-4)^{3} \times(-7)^{11} \) \( D^{\prime \prime}=\frac{-5^{2} \times(-3)^{3}}{-\left(-7^{2}\right)^{5}} \)

4) The relation \( x-5=0 \) is represented by a straight line of slope: \( \begin{array}{llll}\text { a) zero } & \text { b) undefined } & \text { c) } 3 & \text { d) }-3\end{array} \)

APPLCATION 03 Déterminer le signe des puissances suivantes en justifiant votre réponse, \( \mathrm{A}^{\prime \prime}=-2^{3} \times(-5)^{2} \) \( \mathrm{~B}^{\prime \prime}=\left(\frac{2}{-3}\right)^{4} \times\left(-\frac{1}{2}\right)^{7} \times(-1)^{135} \) \( \mathrm{C}^{\prime \prime}=-(-4)^{3} \times(-7)^{11} \) \( \mathrm{D}^{\prime \prime}=\frac{-5^{2} \times(-3)^{3}}{-\left(-7^{2}\right)^{5}} \)

Diketahui \( g(x)=2 x-4 \operatorname{dan}(f \circ g)(x)=\frac{7 x+3}{5 x-9} \). Nilai dari \( f(2)=\cdots \) \( \begin{array}{lll}\text { A. } 0 & \text { C. } 2 & \text { E. } 5 \\ \text { B. } 1 & \text { D. } 4 & \end{array} \)

From \( 8 t^{3}+6 t^{2}-4 t+2 \) subtract \( t^{3}+3 t \)