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5.4 Greatest Common factor and Factoring By Grouping

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5.4.1 Factoring Out the Greatest Common Factor Opposite of Distribute Greatest Common Factor: the greatest factor that divides each term evenly. Examples of factors: The factors of 35 are 5 and 7 The factors of 21 are 3 and seven The greatest common factor of 35 and 21 is 7.

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5.4.1 Continued… What is the greatest common factor of each pairs of monomials? 15y and 30y 2 -5a 2 b 2 and -3ab? Use your answer to factor each of these. 15y + 30y 2 -5a 2 b 2 + -3ab?

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Examples

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5.4.2 Factoring Out a Negative Factor.

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5.4.2 Continued

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5.4.3 Factoring out a Binomial Factor

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5.4.3 Continued

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5.3.4 Factor By Grouping Multiply the following Binomials:

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5.4.4 Factor by Grouping

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5.4.4 Factor By Grouping

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Always factor out the GCF first if you can!

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5.4.4 Factor By Grouping You may have to rearrange terms.

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5.4.4 Factor By Grouping

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5.4 Homework Pg. 347 – 349 #24, 32, 36, 52, 60, 64

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