Factor.
-$5 x ^ { 9 } - 40 x ^ { 8 } - 60 x ^ { 7 }$
A) $5 x ^ { 7 } \left( x ^ { 2 } - 6 x - 12 \right)$
B) $5 x ^ { 7 } ( x - 6 ) ( x - 2 )$
C) $5 x ^ { 7 } ( x - 6 ) ( x + 2 )$
D) $5 x ^ { 6 } \left( x ^ { 2 } - 6 x - 12 \right)$

Question

Quizplus · Accepted Answer

First factor out the greatest common factor of the expression, which is $5x^7$:
$5x^7(x^2-8x-12)$
Then factor the quadratic expression inside the parentheses:
$5x^7(x-6)(x+2)$
Therefore, the correct answer is B, as it factors the expression completely.

Factor - 5x9−40x8−60x75 x ^ { 9 } - 40 x ^ { 8 } - 60 x ^ { 7 }5x9−40x8−60x7

Factor
- $5 x ^ { 9 } - 40 x ^ { 8 } - 60 x ^ { 7 }$