Factor completely. $320 x ^ { 3 } + 240 x ^ { 2 } + 45 x$
A) $\left( 40 x ^ { 2 } + 15 \right) ( 8 x + 3 )$
B) $5 x ( 8 x + 3 ) ( 8 x + 3 )$
C) $5 x ( 8 x - 3 ) ( 8 x - 3 )$.
D) $\left( 40 x ^ { 2 } + 15 \right) ( 8 x + 3 )$.
E) Not factorable

Question

Quizplus · Accepted Answer

The expression can be factored by first taking out the greatest common factor, which is $5x$, resulting in $5x(64x^2 + 48x + 9)$. The quadratic $64x^2 + 48x + 9$ is a perfect square trinomial, which factors to $(8x + 3)^2$. Thus, the complete factorization is $5x(8x + 3)(8x + 3)$.

Factor Completely 320x3+240x2+45x320 x ^ { 3 } + 240 x ^ { 2 } + 45 x320x3+240x2+45x

Factor Completely $320 x ^ { 3 } + 240 x ^ { 2 } + 45 x$