# Precalculus Examples

,

If is a factor of the polynomial, then it must be a root of the polynomial. To determine if the factor is a root, first find the value of when the factor is equal to .

Solve the equation for .

Replace with in to find if it is a root of the polynomial.

Remove parentheses around .

Raise to the power of .

Remove parentheses around .

Raise to the power of .

Multiply by .

Multiply by .

Subtract from .

Subtract from .

Add and .

Since is not a root of the polynomial, is not a factor of the polynomial.

is not a factor of