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19 September, 14:03

Given a polynomial f (x), if (x + 5) is a factor, what else must be true?

f (0) = 5

f (0) = - 5

f (5) = 0

f (-5) = 0

+4
Answers (1)
  1. 19 September, 14:31
    0
    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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