# How do you factor given that #f(-2)=0# and #f(x)=9x^3+10x^2-17x-2#?

##### 2 Answers

Use synthetic division to get

#### Explanation:

Factor given that

If

To find the other factors, divide the original polynomial by

The red numbers in the quotient are the coefficients of a polynomial.

Factor:

The complete factorization is

#### Explanation:

Given:

Then

When you divide by

Check the discriminant:

This makes the factors of the quadratic:

Multiply by