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## Algebra basics (ASL)

### Course: Algebra basics (ASL) > Unit 7

Lesson 5: Factoring quadratics 1 (ASL)# 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 left parenthesis, x, plus, a, right parenthesis, left parenthesis, x, plus, b, right parenthesis gives us a clue.

So start color #e07d10, left parenthesis, a, plus, b, right parenthesis, equals, 3, end color #e07d10 and start color #11accd, a, b, equals, 2, end color #11accd.

After playing around with different possibilities for a and b, we discover that a, equals, start color #1fab54, 1, end color #1fab54, b, equals, start color #1fab54, 2, end color #1fab54 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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