For a polynomial j(x), the value of j(-7) is 5. which of the following must be true about h(x)?

a. x+7 is a factor of j(x).
b. the remainder when j(x) is divided by x-5 is -7.
c. the remainder when j(x) is divided by x+7 is 5.
d. the remainder when j(x) is divided by x-7 is 5.

ANSWER

C. The remainder when j(x) is divided by x+7 is 5.

EXPLANATION

According to the Remainnder Theorem,

if p(x) is divided by (x+a), the remainder is given by p(-a).

The given polynomial is j(x).

If j(-7) is 5, then the remainder when j(x) is divided by (x+7) is 5.

The correct choice is C.