5.4 Greatest Common factor and Factoring By Grouping

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Presentation transcript:

5.4 Greatest Common factor and Factoring By Grouping Concepts 1, 2, 3, 4

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.

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?

Examples

5.4.2 Factoring Out a Negative Factor.

5.4.2 Continued

5.4.3 Factoring out a Binomial Factor

5.4.3 Continued

5.3.4 Factor By Grouping Multiply the following Binomials:

5.4.4 Factor by Grouping

5.4.4 Factor By Grouping

5.4.4 Factor By Grouping

5.4.4 Factor By Grouping

5.4.4 Factor By Grouping Always factor out the GCF first if you can!

5.4.4 Factor By Grouping You may have to rearrange terms.

5.4.4 Factor By Grouping

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