Given a polynomial f(x), if (x + 5) is a factor, what else must be true?
1 answer:
Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.
Using that rule, we can see that x+5 is really x-(-5) so k = -5.
Therefore,
p(k) = 0
p(-5) = 0
so the answer is choice D.
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