# How do you factor #x^2-7x-18#?

##### 1 Answer

#### Explanation:

First step, we need to split the equation up into factors that will multiply back into the given quadratic.

What times

#x * x# , of course.

So, that gives us factors of

#(x" ")(x" ")#

Now we need two numbers that will multiply into

The factors of

#(-9)(+2) = -18 " "# and#" " -9 + 2 = -7#

Therefore

#= x^2-7-18#

#= (x -9)(x+2)#

Always look for the operator signs as a helping indicator.

Hope this helps.