Factor.
-$$5 x ^ { 3 } + 5 x ^ { 2 } - 60 x$$
A) Prime
B) $5 x ( x - 3 ) ( x + 4 )$
C) $5 x ( x + 3 ) ( x - 4 )$
D) $\left( 5 x ^ { 2 } + 15 x \right) ( x - 4 )$

Question

Quizplus · Accepted Answer

We can factor out a common factor of 5x and get:

$$ 5x(x^2 + x - 12) $$

The quadratic inside the parentheses factors as:

$$ 5x(x + 4)(x - 3) $$

So the complete factorization is:

$$ 5 x ( x - 3 ) ( x + 4 ) $$

which corresponds to choice B.

Factor - 5x3+5x2−60x5 x ^ { 3 } + 5 x ^ { 2 } - 60 x5x3+5x2−60x

Factor
- $5 x ^ { 3 } + 5 x ^ { 2 } - 60 x$