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# Factoring the greatest common monomial factor

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### Factoring the greatest common monomial factor

1. 1. FACTORINGThe Greatest Common Monomial Factor
2. 2. ReviewFind the Greatest Common Factor (GCF) of the numbers:18, 30
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4. 4. Review•
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6. 6. Review• or gcd Enter numbers MATH 9 separated by coma ENTER To NUM
7. 7. ReviewFind the Greatest Common Factor (GCF) of the numbers:12, 16
8. 8. ReviewFind the Greatest Common Factor (GCF) of the numbers:12, 16 GCF = 4
9. 9. ReviewFind the Greatest Common Factor (GCF) of the numbers:1) 12, 152) 10, 353) 8, 244) 16, 245) 28, 496) 27, 637) 30, 458) 48, 72
10. 10. ReviewFind the Greatest Common Factor (GCF) of the numbers:1) 12, 15 GCF = 32) 10, 35 GCF = 53) 8, 24 GCF = 84) 16, 24 GCF = 85) 28, 49 GCF = 76) 27, 63 GCF = 97) 30, 45 GCF = 158) 48, 72 GCF = 24
11. 11. Factoring out the greatest common monomial factoris the reverse of multiplying a monomial by apolynomial. Multiply: 3( x + 2 ) = 3x + 6 Factor: 3x + 6 = 3( x + 2 )
12. 12. Factoring Out a MonomialExamples:Polynomial Form Factored1. 3x + 6
13. 13. Factoring Out a MonomialExamples:Polynomial Form Factored1. 3x + 6 3 GCF
14. 14. Factoring Out a MonomialExamples:Polynomial Form Factored1. 3x + 6 3(
15. 15. Factoring Out a MonomialExamples:Polynomial Form Factored1. 3x + 6 3(
16. 16. Factoring Out a MonomialExamples:Polynomial Form Factored1. 3x + 6 3(x
17. 17. Factoring Out a MonomialExamples:Polynomial Form Factored1. 3x + 6 3(x
18. 18. Factoring Out a MonomialExamples:Polynomial Form Factored1. 3x + 6 3(x+2
19. 19. Factoring Out a MonomialExamples:Polynomial Form Factored1. 3x + 6 3(x+2)
20. 20. Factoring Out a Monomial•
21. 21. Factoring Out a Monomial• GCF
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29. 29. Factoring Out a Monomial• Multiply to check
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31. 31. Factoring Out a Monomial• GCF
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40. 40. Factoring Out a Monomial• Multiply to check
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42. 42. Factoring Out a Monomial• GCF = 1
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52. 52. Factoring Out a Monomial• Multiply to check
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54. 54. Factoring Out a Monomial• GCF
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63. 63. Factoring Out a Monomial• Multiply to check
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65. 65. Factoring Out a Monomial• GCF = 1
66. 66. Factoring Out a Monomial• GCF = 1 No common variable
67. 67. Factoring Out a Monomial• Prime
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