Examples

Determine if the Given Expression is a Factor
,
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
Raise to the power of .
Step 5
Subtract from .
Step 6
Since is a root of the polynomial, is a factor of the polynomial.
is a factor of
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