# How do you factor #x^2+9x+18#?

##### 1 Answer

Apr 21, 2018

By finding what multiplies to give 18 and adds to give 9.

#### Explanation:

General form

What does multiplies to give

First is 18 positive or negative. If positive both factors will be positive or negative depending on the sign of

(Not this Question) If negative the factors will be opposite in sign.

List all the factors of

Now looking at these number intuitively what will add to give

Now place into the form:

This is the factorised version of

Quadratic Equation also works.