### Home > PC3 > Chapter 9 > Lesson 9.1.1 > Problem9-12

9-12.

Write an equation, in factored form with real coefficients, for a third-degree polynomial function that has roots of $x = 6 – 5i, x = 4,$ and passes through the point $\left(6, 10\right)$.

$p(x)=a(x-4)(x-(6-5i))(x-(6+5i))$