Question

Which of the binomials below is a factor of this trinomial?

x^2 + 20x + 96

A.x + 96
B.x + 8
C.x - 8
D.x2 + 8

Answer 1

B. x+8

Answer 2

x^2 + 20x + 96


x^2 + 8x+12x + 96


(x^2 + 8x)+(12x + 96)


x(x + 8)+12(x + 8)


(x+12)(x + 8)


So the two factors are x+12 and x+8. Since x+8 is the only factor in the list above, the answer is x+8