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Factoring the greatest common monomial factor
This document discusses factoring polynomials by finding the greatest common factor (GCF). It explains that factoring a polynomial is the reverse of multiplying a monomial and polynomial. Examples are provided of factoring polynomials by identifying the GCF and rewriting the polynomial as a product of the GCF and other factors. The process of factoring out the GCF is demonstrated step-by-step for several examples.
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Factoring the greatest common monomial factor
- 1. FACTORING The Greatest CommonMonomial Factor
- 2. Review Find the GreatestCommon Factor (GCF) of the numbers: 18, 30
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- 6. Review • or gcd Enter numbers MATH 9 separated by coma ENTER To NUM
- 7. Review Find the GreatestCommon Factor (GCF) of the numbers: 12, 16
- 8. Review Find the GreatestCommon Factor (GCF) of the numbers: 12, 16 GCF = 4
- 9. Review Find the GreatestCommon Factor (GCF) of the numbers: 1) 12, 15 2) 10, 35 3) 8, 24 4) 16, 24 5) 28, 49 6) 27, 63 7) 30, 45 8) 48, 72
- 10. Review Find the GreatestCommon Factor (GCF) of the numbers: 1) 12, 15 GCF = 3 2) 10, 35 GCF = 5 3) 8, 24 GCF = 8 4) 16, 24 GCF = 8 5) 28, 49 GCF = 7 6) 27, 63 GCF = 9 7) 30, 45 GCF = 15 8) 48, 72 GCF = 24
- 11. Factoring out thegreatest common monomial factor is the reverse of multiplying a monomial by a polynomial. Multiply: 3( x + 2 ) = 3x + 6 Factor: 3x + 6 = 3( x + 2 )
- 12. Factoring Out aMonomial Examples: Polynomial Form Factored 1. 3x + 6
- 13. Factoring Out aMonomial Examples: Polynomial Form Factored 1. 3x + 6 3 GCF
- 14. Factoring Out aMonomial Examples: Polynomial Form Factored 1. 3x + 6 3(
- 15. Factoring Out aMonomial Examples: Polynomial Form Factored 1. 3x + 6 3(
- 16. Factoring Out aMonomial Examples: Polynomial Form Factored 1. 3x + 6 3(x
- 17. Factoring Out aMonomial Examples: Polynomial Form Factored 1. 3x + 6 3(x
- 18. Factoring Out aMonomial Examples: Polynomial Form Factored 1. 3x + 6 3(x+2
- 19. Factoring Out aMonomial Examples: Polynomial Form Factored 1. 3x + 6 3(x+2)
- 20. Factoring Out aMonomial •
- 21. Factoring Out aMonomial • GCF
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- 29. Factoring Out aMonomial • Multiply to check
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- 31. Factoring Out aMonomial • GCF
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- 40. Factoring Out aMonomial • Multiply to check
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- 42. Factoring Out aMonomial • GCF = 1
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- 54. Factoring Out aMonomial • GCF
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- 63. Factoring Out aMonomial • Multiply to check
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- 65. Factoring Out aMonomial • GCF = 1
- 66. Factoring Out aMonomial • GCF = 1 No common variable
- 67. Factoring Out aMonomial • Prime
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