day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
Factors
and
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 & GCF
1
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
Apr 3­1:05 PM
2
day 150 may 9 reverse distributive property factoring.notebook
1
May 09, 2017
What is the GCF of 12 and 15?
3
Pull
Factors and GCF
3
day 150 may 9 reverse distributive property factoring.notebook
2
May 09, 2017
What is the GCF of 24 and 48?
Pull
Factors and GCF
4
day 150 may 9 reverse distributive property factoring.notebook
3
May 09, 2017
What is the GCF of 72 and 54?
Pull
Factors and GCF
5
day 150 may 9 reverse distributive property factoring.notebook
4
May 09, 2017
What is the GCF of 28, 56 and 42?
Pull
Factors and GCF
6
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
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
and
and
Factors and GCF
7
day 150 may 9 reverse distributive property factoring.notebook
5
What is the GCF of
B
C
D
?
Pull
A
and
May 09, 2017
Factors and GCF
8
day 150 may 9 reverse distributive property factoring.notebook
6
What is the GCF of
B
C
D
?
Pull
A
and
May 09, 2017
Factors and GCF
9
day 150 may 9 reverse distributive property factoring.notebook
7
What is the GCF of
B
C
D
and
?
Pull
A
and
May 09, 2017
Factors and GCF
10
day 150 may 9 reverse distributive property factoring.notebook
8
What is the GCF of
B
C
D
and
?
Pull
A
and
May 09, 2017
Factors and GCF
11
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
Factoring
out GCFs
Return to
Table of
Contents
Factoring out GCF
12
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
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
Find the GCF
3x2
GCF: 3x2
6x4
15x3
3x2
3x2
3x2
3x2
Reduce each term of the polynomial dividing
by the GCF
3x2 (2x2 ­ 5x + 1)
Factoring out GCF
13
day 150 may 9 reverse distributive property factoring.notebook
9
May 09, 2017
If possible, Factor
B
C
Pull
A
D Already Simplified
Factoring out GCF
14
day 150 may 9 reverse distributive property factoring.notebook
10
May 09, 2017
If possible, Factor
B
C
Pull
A
D Already Simplified
Factoring out GCF
15
day 150 may 9 reverse distributive property factoring.notebook
11
May 09, 2017
If possible, Factor
A
B
C
D Already Simplified
Factoring out GCF
16
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
Apr 8­12:42 PM
17
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
May 3­9:09 AM
18
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
Lesson Check:
Apr 8­12:42 PM
19
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
Apr 8­12:43 PM
20
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
In Class work:
Apr 3­1:12 PM
21
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
Homework, due tomorrow.
Apr 3­1:17 PM
22
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
Apr 8­1:06 PM
23
day 150 may 9 reverse distributive property factoring.notebook
May 09, 2017
Apr 8­1:10 PM
24