### Home > PC3 > Chapter 5 > Lesson 5.1.3 > Problem5-33

5-33.

​Write an equation for a fifth-degree polynomial function with roots at $x=−2$, $x=5$, and triple root $x=2$. The $y$-intercept is $(0,8)$.

$p\left(x\right)=a\left(x-\text{number}\right)\left(x-\text{number}\right)\left(x-\text{number}\right)^3$