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

Question

Mathematics

Salma Porter

31 May, 04:06

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

+2

Answers (1)

Know the Answer?

Rachael Trevino · Answer 1

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.

Given a polynomial f (x), if (x + 5) is a factor, what else must be true?f (0) = 5f (0) = - 5f (5) = 0f (-5) = 0

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