how to prove whether the answer is correct in factor therom?
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The proof of The Factor Theorem is a consequence of what we already know. If (x−c) is a factor of p(x), this means p(x)=(x−c)q(x) for some polynomial q. Hence, p(c)=(c−c)q(c)=0, so c is a zero of p. Conversely, if c is a zero of p, then p(c)=0.
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