Use the remainder theorem to find which of the following is not a factor of X^3+12X^2+47X+60

Explanation:

The answer choices are:

The remainder theorem states that the remainder of the division of a polynomial f(x) by a factor x - a is equal to f(a).

Therefore, when f(a) = 0, the remainder is zero and x - a is a factor of the polynomial.

Then, you must find f(a) for each of the factors on the choices:

a. x + 5

⇒ a = - 5

Since f(-5) = 0, x + 5 is a factor of the polynomial.

b. x + 4

⇒ a = - 4

Since f(-4) = 0, x + 4 is a factor.

c. x + 3

Since f(-3) = 0, x + 3 is a factor.

d. x + 2

Since f(-2) ≠ 0, x + 2 is not a factor ← answer

step-by-step explanation:

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