Factor completely. If the polynomial cannot be factored, write ʺprime.ʺ
-$3 x ^ { 3 } + 6 x ^ { 2 } y - 45 x y ^ { 2 }$
A) $3 x ( x - 3 y ) ( x + 5 y )$
B) $\left( 3 x ^ { 2 } + 9 x y \right) ( x - 5 y )$
C) $( x - 3 y ) \left( 3 x ^ { 2 } + 15 x y \right)$
D) $3 x ( x + 3 y ) ( x - 5 y )$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $3x$, resulting in $3x(x^2 + 2xy - 15y^2)$. Then, factor the quadratic inside the parentheses to get $3x(x - 3y)(x + 5y)$.

Factor Completely 3x3+6x2y−45xy23 x ^ { 3 } + 6 x ^ { 2 } y - 45 x y ^ { 2 }3x3+6x2y−45xy2

Factor Completely $3 x ^ { 3 } + 6 x ^ { 2 } y - 45 x y ^ { 2 }$