### Home > PC3 > Chapter Ch8 > Lesson 8.2.2 > Problem8-76

8-76.

Write an equation for a fourth-degree polynomial that has a double root at $x = -3$, a complex root of $x = 1 - 2i$, and passes through the point $\left(2, -25\right)$.

$p\left(x\right)=a\left(x-\left(-3\right)\right)^2\left(x-\left(1-2i\right)\right)\left(x-\left(1+2i\right)\right)$