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

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.