Question

Factor the polynomial completely.

2x^3+16x^2+7x+56

A. (x^2+8)(x+7)
B. (2x^2+7)(x+8)
C. (x^2+7)(x+8)
D. (2x^2+8)(x+7)

Answer 1

B. The answer is letter B.

Answer 2

We can simplify this by separating this into 2 sections. 2x^3 + 16x^2 and 7x+56. The GCF of 2x^3 + 16x^2 is 2x^2 and the GCF of 7x+56 is 7. When we factor out these numbers we are left with (x+8) for both. The simplified equation is (2x^2 + 7)(x+8)