# How do you factor #18x^2 -15x - 18#?

##### 1 Answer

Feb 12, 2017

#### Answer:

#### Explanation:

First separate out the common scalar factor

#18x^2-15x-18 = 3(6x^2-5x-6)#

To factor

The pair

Use this pair to split the middle term and factor by grouping:

#6x^2-5x-6 = (6x^2-9x)+(4x-6)#

#color(white)(6x^2-5x-6) = 3x(2x-3)+2(2x-3)#

#color(white)(6x^2-5x-6) = (3x+2)(2x-3)#

Putting it all together:

#18x^2-15x-18 = 3(3x+2)(2x-3)#