Algebra basics (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.
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.
Factor the quadratic expression as the product of two binomials.
Want more practice? Check out this exercise.
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