6.3 gcf factoring day 2
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Transcript of 6.3 gcf factoring day 2
![Page 1: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/1.jpg)
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
![Page 2: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/2.jpg)
Objective
• SWBAT factor polynomials using the GCF.
![Page 3: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/3.jpg)
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.
![Page 4: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/4.jpg)
Examples
Find the GCF for the terms
listed below:
4x2 , 10x4
![Page 5: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/5.jpg)
Examples
Find the GCF for the terms
listed below:
46m4, 9m3
![Page 6: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/6.jpg)
Examples
Find the GCF for the terms
listed below:
2x3, 6x2, 10x8
![Page 7: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/7.jpg)
Examples
Find the GCF for the terms
listed below:
9y2, 12y, 18y2
![Page 8: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/8.jpg)
Factoring
12x2 – 15x
![Page 9: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/9.jpg)
Factoring
12x2 – 15x 3x (4x – 5)
![Page 10: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/10.jpg)
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.
![Page 11: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/11.jpg)
Example
• Factor:
3x2 + 6x =
![Page 12: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/12.jpg)
Example
• Factor:
16x2 + 4x =
![Page 13: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/13.jpg)
Example
• Factor:
6x2 + 26 =
![Page 14: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/14.jpg)
Example
• Factor:
3y4 – 12y3 + 9y2 =
![Page 15: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/15.jpg)
Example
• Factor:
2x3 – 6x2 + 8x =
![Page 16: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/16.jpg)
Example
• Factor:
100x7 + 20x6 + 50x5=
![Page 17: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/17.jpg)
![Page 18: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/18.jpg)
Drill
Distribute and simplify:
1) (2x – 1)(3x + 5)
2) (x + 1)2 =
![Page 19: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/19.jpg)
GCF
• The greatest common factor
of a set of numbers is the
largest number that divides
evenly into all the numbers
in that set.
![Page 20: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/20.jpg)
GCF
• We need to be able to do
this for 2 or 3 numbers.
• If the numbers are relatively
prime the GCF is one.
![Page 21: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/21.jpg)
Examples
Find the GCF for the
numbers listed below:
12, 20
![Page 22: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/22.jpg)
Examples
Find the GCF for the
numbers listed below:
8, 64
![Page 23: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/23.jpg)
Examples
Find the GCF for the
numbers listed below:
14, 56
![Page 24: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/24.jpg)
Examples
Find the GCF for the
numbers listed below:
40, 21
![Page 25: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/25.jpg)
Examples
Find the GCF for the
numbers listed below:
10, 12, 20
![Page 26: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/26.jpg)
Examples
Find the GCF for the
numbers listed below:
24, 16, 30
![Page 27: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/27.jpg)
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.
![Page 28: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/28.jpg)
Examples
Find the GCF for the terms
listed below:
4x2 , 10x4
![Page 29: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/29.jpg)
Examples
Find the GCF for the terms
listed below:
46m4, 9m3
![Page 30: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/30.jpg)
Examples
Find the GCF for the terms
listed below:
2x3, 6x2, 10x8
![Page 31: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/31.jpg)
Examples
Find the GCF for the terms
listed below:
9y2, 12y, 18y2
![Page 32: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/32.jpg)
Factoring
12x2 – 15x
![Page 33: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/33.jpg)
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.
![Page 34: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/34.jpg)
Example
• Factor:
3x2 + 6x =
![Page 35: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/35.jpg)
Example
• Factor:
16x2 + 4x =
![Page 36: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/36.jpg)
Example
• Factor:
6x2 + 26 =
![Page 37: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/37.jpg)
Example
• Factor:
3y4 – 12y3 + 9y2 =
![Page 38: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/38.jpg)
Example
• Factor:
2x3 – 6x2 + 8x =
![Page 39: 6.3 gcf factoring day 2](https://reader033.fdocuments.in/reader033/viewer/2022042518/55a34ca41a28ab446e8b475f/html5/thumbnails/39.jpg)
Example
• Factor:
100x7 + 20x6 + 50x5=