Factor the trinomial, if possible.
-4x $$x ^ { 3 } + 4 x ^ { 2 } y - 24 x y ^ { 2 }$$
A) $\left( 4 x ^ { 2 } + 8 x y \right) ( x - 3 y )$
B) $( x - 2 y ) \left( 4 x ^ { 2 } + 12 x y \right)$
C) $4 x ( x - 2 y ) ( x + 3 y )$
D) $4 x ( x + 2 y ) ( x - 3 y )$

Question

Quizplus · Accepted Answer

First, factor out the common factor of $4x$, giving $4x(x^2 + 4xy - 6y^2)$. Then, factor the quadratic, which factors into $(x - 2y)(x + 3y)$, resulting in $4x(x - 2y)(x + 3y)$.

Factor the Trinomial, If Possible x3+4x2y−24xy2x ^ { 3 } + 4 x ^ { 2 } y - 24 x y ^ { 2 }x3+4x2y−24xy2

Factor the Trinomial, If Possible $x ^ { 3 } + 4 x ^ { 2 } y - 24 x y ^ { 2 }$