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# How to Factor Binomials.

This will teach students how to perform binomial factorizations.
by

## Kasey Sauder

on 19 April 2010

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#### Transcript of How to Factor Binomials.

How to Factor Binomials What is factoring?
The process of breaking binomials into smaller pieces
Ex. X^2 + X = X(X + 1) What can be factored out?
Anything that is contained in both terms. Step 1 - Find the Greatest Common Factor The Greatest Common Factor is the largest thing that can be removed from both terms Step 2 - Find out if you have a difference of squares
A difference of squares would be a variable squared minus a constant
Ex. X^2 - 4 If you have factored out the Greatest Common Factor and you don't have a difference of squares, you are done. If you have a difference of squares, go to Step 3 Step 3 - Solving the Perfect Square
Find the square root of each term
Step 4 - Setting it all up
The final answer will be the square root of the first term minus the square root of the second term
in parentheses, multiplied by the square root of the first term plus the square root of the second term,
also in parentheses. All of this will be multiplied by whatever you factored out to start with (the Greatest
Common Factor) Examples:
2x^2 - 8 will be factored into 2 (x - 2) (x + 2)
3x^3 - 27x will be factored into 3x (x - 3) (x + 3) Now you are capable of factoring binomials!!!! :)
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