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
Simplify each term.
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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
Simplify by adding and subtracting.
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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
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