Use the remainder theorem to find the remainder for (x ^5 + 32) divided by (x+2) and state whether or not the binomial is a factor of the polynomial a: 0; yes b: 0; no c: 1; yes d: -1; no

is a factor of because (by the remainder theorem) the remainder upon dividing by is .

There's also the sum of fifth powers formula,

ANSWER

The correct answer is A

EXPLANATION

The given polynomial is

According to the remainder theorem, if p(x) is divided by x+2 the remainder is p(-2).

If the remainder is zero then x+2 is a factor of f(x).

We plug in x=-2 into the function to obtain;

Since the remainder is zero, x+2 is a factor.

The correct answer is A

step-by-step explanation: