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).