Precalculus Examples

Determine if the Given Expression is a Factor
,
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.
Simplify each term.
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Remove parentheses around .
Raise to the power of .
Remove parentheses around .
Raise to the power of .
Multiply by .
Multiply by .
Simplify by adding and subtracting.
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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
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