### Home > PC3 > Chapter 6 > Lesson 6.1.3 > Problem6-61

6-61.

Write an equation for a fourth-degree polynomial function that has a triple root at $x = 2$, a root at $x = −7$, and passes through the point $\left(−1, −9\right)$.

$p\left(x\right)=a\left(x-2\right)^3\left(x-\left(-7\right)\right)$

$p\left(-1\right)=-9$