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**5.4 Greatest Common factor and Factoring By Grouping**

Concepts 1, 2, 3, 4

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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… 15y and 30y2 -5a2b2 and -3ab?**

What is the greatest common factor of each pairs of monomials? 15y and 30y2 -5a2b2 and -3ab? Use your answer to factor each of these. 15y + 30y2 -5a2b2 + -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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5.4.4 Factor By Grouping

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5.4.4 Factor By Grouping

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5.4.4 Factor By Grouping 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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Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.

Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.

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