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# 7.14: The Factor Theorem

Difficulty Level: Advanced Created by: CK-12
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### Vocabulary Language: English

factor theorem

The factor theorem states that if $f(x)$ is a polynomial of degree $n>0$ and $f(c)=0$, then $x-c$ is a factor of the polynomial $f(x)$.

Remainder Theorem

The remainder theorem states that if $f(k) = r$, then $r$ is the remainder when dividing $f(x)$ by $(x - k)$.

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