# Precalculus Examples

,

Step 1

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 .

Step 2

Solve the equation for .

Step 3

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

Step 4

Step 4.1

Raise to the power of .

Step 4.2

Raise to the power of .

Step 4.3

Multiply by .

Step 4.4

Multiply by .

Step 5

Step 5.1

Subtract from .

Step 5.2

Subtract from .

Step 5.3

Add and .

Step 6

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

is not a factor of