Question

Factor by grouping. 9x3 – 39x2 – 30x

Answer 1

Given:

The expression is

$9x^3-39x^2-30x$

To find:

The factors by grouping method.

Solution:

We have,

$9x^3-39x^2-30x$

Taking out common factors, we get

$=x(9x^2-39x-30)$

Splitting the middle term, we get

$=x(9x^2-45x+6x-30)$

By grouping method, we get

$=x(9x(x-5)+6(x-5))$

$=x(x-5)(9x+6)$

Therefore, the factor form of given expression is x(x-5)(9x+6).