kittendude kittendude

10-01-2017
Mathematics

contestada

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

Respuesta :

jimthompson5910 jimthompson5910

10-01-2017

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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