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### Course: Algebra (all content) > Unit 10

Lesson 14: Factoring quadratics intro# 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 $(x+a)(x+b)$ gives us a clue.

So ${(a+b)=3}$ and ${ab=2}$ .

After playing around with different possibilities for $a$ and $b$ , we discover that $a={1}$ , $b={2}$ 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.*

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