# Factoring simple quadratics review

Factoring quadratics is very similar to multiplying binomials, just going the other way. For example, x^2+3x+2 factors to (x+1)(x+2) because (x+1)(x+2) multiplies to x^2+3x+2. This article reviews the basics of how to factor quadratics into the product of two binomials.

### Example

**Factor as the product of two binomials.**

Our goal is to rewrite the expression in the form:

Expanding gives us a clue.

So and .

After playing around with different possibilities for and , we discover that , satisfies both conditions.

Plugging these in, we get:

And we can multiply the binomials to check our solution if we'd like:

Yep, we get our original expression back, so we know we factored correctly to get our answer:

*Want to see another example? Check out this video.*