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FACTORING
The Greatest Common Monomial Factor
Review
Find the Greatest Common Factor (GCF) of the numbers:
18, 30
Review
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Review
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Review
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Review
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                                   or gcd




                          Enter numbers
    MATH            9   separated by coma   ENTER

           To NUM
Review
Find the Greatest Common Factor (GCF) of the numbers:
12, 16
Review
Find the Greatest Common Factor (GCF) of the numbers:
12, 16        GCF = 4
Review
Find the Greatest Common 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
Review
Find the Greatest Common 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
Factoring out the Greatest 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 )
Factoring Out a Monomial
Examples:
Polynomial Form       Factored
1. 3x + 6
Factoring Out a Monomial
Examples:
Polynomial Form         Factored
1. 3x + 6               3

    GCF
Factoring Out a Monomial
Examples:
Polynomial Form       Factored
1. 3x + 6             3(
Factoring Out a Monomial
Examples:
Polynomial Form       Factored
1. 3x + 6             3(
Factoring Out a Monomial
Examples:
Polynomial Form       Factored
1. 3x + 6             3(x
Factoring Out a Monomial
Examples:
Polynomial Form       Factored
1. 3x + 6             3(x
Factoring Out a Monomial
Examples:
Polynomial Form       Factored
1. 3x + 6             3(x+2
Factoring Out a Monomial
Examples:
Polynomial Form       Factored
1. 3x + 6             3(x+2)
Factoring Out a Monomial
•
Factoring Out a Monomial
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    GCF
Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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                Multiply to check
Factoring Out a Monomial
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Factoring Out a Monomial
•




    GCF
Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
•




                  Multiply to check
Factoring Out a Monomial
•
Factoring Out a Monomial
•




    GCF = 1
Factoring Out a Monomial
•
Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
•




                  Multiply to check
Factoring Out a Monomial
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Factoring Out a Monomial
•
Factoring Out a Monomial
•
Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
•
Factoring Out a Monomial
•
Factoring Out a Monomial
•




                 Multiply to check
Factoring Out a Monomial
•
Factoring Out a Monomial
•




    GCF = 1
Factoring Out a Monomial
•




     GCF = 1
    No common
     variable
Factoring Out a Monomial
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                  Prime
Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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Factoring Out a Monomial
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A1 factoring gcm and grouping