Factor the polynomial completely. If the polynomial cannot be factored, write "prime."
-9(a + 3)- y(a + 3)
A)(a + 3)(9 + y)
B)(a + 3)(9 - y)
C)(a - 3)(y - 9)
D)Prime

Question

Quizplus · Accepted Answer

The expression can be rewritten as (a+3)(9-y) by factoring out the common factor of (a+3). Therefore, the polynomial is factored completely as (a+3)(9-y). Choice B is the only one that matches this factored form. Both terms have a common factor of (a+3), so we can factor it out: (a+3)(9-y). This cannot be factored any further, so the answer is (a+3)(9-y).

Factor the Polynomial Completely