### Home > PC3 > Chapter 7 > Lesson 7.1.2 > Problem7-23

7-23.

Sketch the graph of a fourth-degree polynomial function that crosses the $x\text{-axis}$ at $(-3,0)$ and $(5,0)$, bounces off the $x\text{-axis}$ at $(2,0)$, and has a $y\text{-intercept}$ of $(0,6)$. Then write the equation of the function. Homework Help ✎

$f\left(x\right)=a\left(x+3\right)\left(x-5\right)\left(x-2\right)^2$