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5.4 Greatest Common factor and Factoring By Grouping

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

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5.4 Greatest Common factor and Factoring By Grouping

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

  2. 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.

  3. 5.4.1 Continued… • 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?

  4. Examples

  5. 5.4.2 Factoring Out a Negative Factor.

  6. 5.4.2 Continued

  7. 5.4.3 Factoring out a Binomial Factor

  8. 5.4.3 Continued

  9. 5.3.4 Factor By Grouping • Multiply the following Binomials:

  10. 5.4.4 Factor by Grouping

  11. 5.4.4 Factor By Grouping

  12. 5.4.4 Factor By Grouping

  13. 5.4.4 Factor By Grouping

  14. 5.4.4 Factor By Grouping • Always factor out the GCF first if you can!

  15. 5.4.4 Factor By Grouping • You may have to rearrange terms.

  16. 5.4.4 Factor By Grouping

  17. 5.4 Homework • Pg. 347 – 349 • #24, 32, 36, 52, 60, 64

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