6.3 gcf factoring day 2
TRANSCRIPT
Warm UP
1. Use a factor Tree to find the prime
factorization of 120.
2. Find the GCF: 40, 25
3. Find the GCF: 36, 24, 60
Objective
• SWBAT factor polynomials using the GCF.
With Variables Involved
• When you have variables in
your terms you will do the
number things just like we
did. For the variables
simply take the least
amount of each one.
Examples
Find the GCF for the terms
listed below:
4x2 , 10x4
Examples
Find the GCF for the terms
listed below:
46m4, 9m3
Examples
Find the GCF for the terms
listed below:
2x3, 6x2, 10x8
Examples
Find the GCF for the terms
listed below:
9y2, 12y, 18y2
Factoring
12x2 – 15x
Factoring
12x2 – 15x 3x (4x – 5)
So…
• For each polynomial you will
first need to determine the
GCF.
• Then each terms is divided by
the GCF to find the part in the
parenthesis.
Example
• Factor:
3x2 + 6x =
Example
• Factor:
16x2 + 4x =
Example
• Factor:
6x2 + 26 =
Example
• Factor:
3y4 – 12y3 + 9y2 =
Example
• Factor:
2x3 – 6x2 + 8x =
Example
• Factor:
100x7 + 20x6 + 50x5=
Drill
Distribute and simplify:
1) (2x – 1)(3x + 5)
2) (x + 1)2 =
GCF
• The greatest common factor
of a set of numbers is the
largest number that divides
evenly into all the numbers
in that set.
GCF
• We need to be able to do
this for 2 or 3 numbers.
• If the numbers are relatively
prime the GCF is one.
Examples
Find the GCF for the
numbers listed below:
12, 20
Examples
Find the GCF for the
numbers listed below:
8, 64
Examples
Find the GCF for the
numbers listed below:
14, 56
Examples
Find the GCF for the
numbers listed below:
40, 21
Examples
Find the GCF for the
numbers listed below:
10, 12, 20
Examples
Find the GCF for the
numbers listed below:
24, 16, 30
With Variables Involved
• When you have variables in
your terms you will do the
number things just like we
did. For the variables
simply take the least
amount of each one.
Examples
Find the GCF for the terms
listed below:
4x2 , 10x4
Examples
Find the GCF for the terms
listed below:
46m4, 9m3
Examples
Find the GCF for the terms
listed below:
2x3, 6x2, 10x8
Examples
Find the GCF for the terms
listed below:
9y2, 12y, 18y2
Factoring
12x2 – 15x
So…
• For each polynomial you will
first need to determine the
GCF.
• Then each terms is divided by
the GCF to find the part in the
parenthesis.
Example
• Factor:
3x2 + 6x =
Example
• Factor:
16x2 + 4x =
Example
• Factor:
6x2 + 26 =
Example
• Factor:
3y4 – 12y3 + 9y2 =
Example
• Factor:
2x3 – 6x2 + 8x =
Example
• Factor:
100x7 + 20x6 + 50x5=