Factor.
-$$x ^ { 3 } - x ^ { 2 } - 72 x$$
A) $\left( x ^ { 2 } + 1 \right) ( x - 72 )$
B) $x ( x + 8 ) ( x - 9 )$
C) Prime
D) $x ( x + 9 ) ( x - 8 )$

Question

Quizplus · Accepted Answer

We can first factor out an $x$ to get $x(x^2 - x - 72)$. Then, we can factor the quadratic as $(x-9)(x+8)$ using either the quadratic formula or factoring by grouping. Putting this all together, we get $x(x-9)(x+8)$, which is choice $\boxed{	extbf{(B)}}$.

Factor - x3−x2−72xx ^ { 3 } - x ^ { 2 } - 72 xx3−x2−72x

Factor
- $x ^ { 3 } - x ^ { 2 } - 72 x$