Factor.
-$80 z ^ { 8 } - 12 z ^ { 5 } - 36 z ^ { 2 }$
A) $4 z ^ { 2 } \left( 5 z ^ { 3 } - 3 \right) \left( 4 z ^ { 3 } + 3 \right)$
B) $4 \left( 4 z ^ { 6 } - 3 \right) \left( 5 z ^ { 2 } + 3 \right)$
C) $\left( 4 z ^ { 4 } + 4 \right) \left( 5 z ^ { 4 } + 3 \right)$
D) $4 z ^ { 2 } \left( 4 z ^ { 3 } - 3 \right) \left( 5 z ^ { 3 } + 3 \right)$

Question

Quizplus · Accepted Answer

First, factor out the greatest common factor, which is $4z^2$, resulting in $4z^2(20z^6 - 3z^3 - 9)$. Further factoring within the parentheses gives $4z^2(4z^3 - 3)(5z^3 + 3)$, matching option D.

Factor - 80z8−12z5−36z280 z ^ { 8 } - 12 z ^ { 5 } - 36 z ^ { 2 }80z8−12z5−36z2

Factor
- $80 z ^ { 8 } - 12 z ^ { 5 } - 36 z ^ { 2 }$