Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)
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Transcript of Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)
![Page 1: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/1.jpg)
Factoring Using the Distributive Property
Section 10.8
![Page 2: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/2.jpg)
Warm UpFactor completely: 100x² - 121
(10x – 11)(10x + 11)
![Page 3: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/3.jpg)
Homework Check / Questions
![Page 4: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/4.jpg)
Factoring Out the GCFNOTE: We have done this already, but now
we are doing it right awayThe first step of factoring is always
checking to see if you can factor out the GCF. If you can: then do it and factor what left
inside the parenthesis.If you cannot: then go ahead and factor
in the ways we already have!
![Page 5: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/5.jpg)
Example: Factor .1. Factor out GCF
(What’s multipliedinto every term?)
2. Factor what’s leftin parenthesis
45: 1, 3, 5, 9, 15, 4520: 1, 2, 4, 5, 10, 20
5 𝑥2(9𝑥2−4)
9 𝑥2−45 𝑥2(3𝑥+2)(3 𝑥−2)
(3 𝑥+2)(3 𝑥−2)
![Page 6: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/6.jpg)
You Try! Factor: 27w³ - 3w.
3w(3w+1)(3w-1)
![Page 7: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/7.jpg)
Too Easy? Factor: 5x³ - 25x² - 30x.
5x(x – 6)(x + 1)
![Page 8: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/8.jpg)
You’re Bored? Factor: 75x – 3x².
-3x(x – 25)
![Page 9: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/9.jpg)
Factoring by GroupingWe’ve already done this within a different
context.
We are distributing backwards!
𝑎 (𝑏+𝑐 )+𝑑 (𝑒+ 𝑓 )=(𝑎+𝑑)(𝑒+ 𝑓 )
![Page 10: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/10.jpg)
Example: Factor .1. Put parenthesis around
first two and last two terms. (Put a “+” in between.)
2. Factor out GCF from each pair.
3. Reverse distribute.
4. Factor anything that still needs to be factored.
𝑥2 (𝑥+2 )+9(𝑥+2)
(𝑥2+9)(𝑥+2)
(𝑥¿¿3+2𝑥2)+(9 𝑥+18)¿
(𝑥+3)(𝑥−3)(𝑥+2)
![Page 11: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/11.jpg)
When do I factor by grouping?
When there are 4 terms!
![Page 12: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/12.jpg)
Your turn! Factor x³ - 2x² - 9x + 18.
(x + 3)(x – 3)(x – 2)
![Page 13: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/13.jpg)
Keep ‘em comin’. Factor x³ + 2x² - 36x - 72
(x + 6)(x – 6)(x + 21)
![Page 14: Section 10.8. Warm Up Factor completely: 100x² - 121 (10x – 11)(10x + 11)](https://reader035.fdocuments.net/reader035/viewer/2022081503/56649f2f5503460f94c4897a/html5/thumbnails/14.jpg)
Round Table Activity!We will get into small groupsEach person will get a worksheetAfter a set amount of time, everyone must rotate
papersYou must pick up from where the previous person left
off on the paper. You cannot go back and fix problems that have already been finished. If the person was in the middle of a problem, you can edit
that specific problemAt the end, your group can discuss the problems to
see if there needs to be any changesAt the end, you will staple your group’s pages
together
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Homework: pg. 632 #14-24 even