Factor using the ac-method.
-$x^{5}+15 x^{4}+56 x^{3}$
A) $x^{8}\left(x^{2}+15 x+56\right)$
B) $x^{3}(x+8)(x+7)$
C) $x^{3}(x-8)(x+7)$
D) $x^{3}(x+8)(x-7)$

Name: Factor using the ac-method. -$x^{5}+15 x^{4}+56 x^{3}$ A) $x^{8}\left(x^{2}+15 x+56\right)$ B) $x^{3}(x+8)(x+7)$ C) $x^{3}(x-8)(x+7)$ D) $x^{3}(x+8)(x-7)$
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Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $x^{3}$, resulting in $x^{3}(x^{2}+15x+56)$. Then, factor the quadratic expression, which factors into $(x+8)(x+7)$.

Factor Using the Ac-Method x5+15x4+56x3x^{5}+15 x^{4}+56 x^{3}x5+15x4+56x3 A) x8(x2+15x+56)x^{8}\left(x^{2}+15 x+56\right)x8(x2+15x+56) B) x3(x+8)(x+7)x^{3}(x+8)(x+7)x3(x+8)(x+7) C) x3(x−8)(x+7)x^{3}(x-8)(x+7)x3(x−8)(x+7)

Factor Using the Ac-Method $x^{5}+15 x^{4}+56 x^{3}$ A) $x^{8}\left(x^{2}+15 x+56\right)$ B) $x^{3}(x+8)(x+7)$ C) $x^{3}(x-8)(x+7)$