Factor by grouping.
-$x^{3}+7 x^{2}-3 x-21$
A) $(x+7)\left(x^{3}-3 x\right)$
B) $\left(x^{2}+7\right)(x-3)$
C) $(x+7)\left(x^{2}-3\right)$
D) $(x-7)\left(x^{2}-3\right)$

Name: Factor by grouping. -$x^{3}+7 x^{2}-3 x-21$ A) $(x+7)\left(x^{3}-3 x\right)$ B) $\left(x^{2}+7\right)(x-3)$ C) $(x+7)\left(x^{2}-3\right)$ D) $(x-7)\left(x^{2}-3\right)$
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Question

Quizplus · Accepted Answer

Grouping the terms, we get $x^{2}(x+7)-3(x+7)$, which factors further into $(x+7)(x^{2}-3)$.

Factor by Grouping x3+7x2−3x−21x^{3}+7 x^{2}-3 x-21x3+7x2−3x−21 A) (x+7)(x3−3x)(x+7)\left(x^{3}-3 x\right)(x+7)(x3−3x) B) (x2+7)(x−3)\left(x^{2}+7\right)(x-3)(x2+7)(x−3) C) (x+7)(x2−3)(x+7)\left(x^{2}-3\right)(x+7)(x2−3) D) (x−7)(x2−3)(x-7)\left(x^{2}-3\right)(x−7)(x2−3)

Factor by Grouping $x^{3}+7 x^{2}-3 x-21$ A) $(x+7)\left(x^{3}-3 x\right)$ B) $\left(x^{2}+7\right)(x-3)$ C) $(x+7)\left(x^{2}-3\right)$ D) $(x-7)\left(x^{2}-3\right)$