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 to get .
Subtract from to get .
Since is a root of the polynomial, is a factor of the polynomial.
is a factor of
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