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day 142 and 143 May 2 and 3 reverse distributive property factoring.notebook
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Factors & GCF
Factorsand
Greatest Common Factors
Warm Up:If the answer to a problem involving the distributive property is 7R + 21, what was the original problem?
Fill in the missing blanks below. ___ ( __ + __)
Explain how you arrived at your answer.
Factors and GCF
1 What is the GCF of 12 and 15?
Pull
Pull
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Factors and GCF
2 What is the GCF of 24 and 48?Pull
Pull
Factors and GCF
3 What is the GCF of 72 and 54?
Pull
Pull
day 142 and 143 May 2 and 3 reverse distributive property factoring.notebook
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Factors and GCF
4 What is the GCF of 28, 56 and 42?Pull
Pull
Factors and GCF
Variables also have a GCF.
The GCF of variables is the variable(s) that is in each term raised to the lowest exponent given.
Example: Find the GCF
and
and and and
andand
day 142 and 143 May 2 and 3 reverse distributive property factoring.notebook
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Factors and GCF
5 What is the GCF of
A
B
C
D
and ?Pull
Pull
Factors and GCF
6 What is the GCF of
A
B C D
and ?
Pull
Pull
day 142 and 143 May 2 and 3 reverse distributive property factoring.notebook
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Factors and GCF
7 What is the GCF of
A
B
C
D
and ?andPull
Pull
Factors and GCF
8 What is the GCF of
A
B C D
and ?and
Pull
Pull
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Factoring out GCF
Factoringout GCFs
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Factoring out GCF
The first step in factoring is to determine its greatest monomial factor. If there is a greatest monomial factor other than 1, use the distributive property to rewrite the given polynomial as the product of this greatest monomial factor and a polynomial.
Example 1 Factor each polynomial.
a) 6x4 15x3 + 3x2
3x2 (2x2 5x + 1)
GCF: 3x2
Reduce each term of the polynomial dividingby the GCF
Find the GCF 3x23x2 3x2 3x2
3x26x4 15x3
day 142 and 143 May 2 and 3 reverse distributive property factoring.notebook
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Factoring out GCF
The first step in factoring is to determine its greatest monomial factor. If there is a greatest monomial factor other than 1, use the distributive property to rewrite the given polynomial as the product of this greatest monomial factor and a polynomial.
Example 1 Factor each polynomial.
b) 4m3n 7m2n2
m2n(4n 7n)
GCF: m2nReduce each term of the polynomial dividingby the GCF
Find the GCF
Factoring out GCF
9 If possible, Factor
A
B C D Already Simplified
Pull
Pull
day 142 and 143 May 2 and 3 reverse distributive property factoring.notebook
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Factoring out GCF
10 If possible, Factor
A
B
C
D Already Simplified
Pull
Pull
Factoring out GCF
11 If possible, Factor
A
B C D Already Simplified
day 142 and 143 May 2 and 3 reverse distributive property factoring.notebook
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5/3 hw: #17-25 below
May 39:01 AM
Assignment: Day 1 of distributive property factoringComplete Factoring Quadratics Worksheet
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Apr 812:48 PM
Assignment: Day 2 of distributive property factoring: Complete the Factorize worksheet in class and finish the 8-2 practice worksheet,
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Apr 812:48 PM
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Factorize Worksheet Key
May 39:03 AM