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![Page 1: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/1.jpg)
Factoring by Grouping and
Sum and Difference of Cubes
(Section 5-4 – Alg 2)
E. Q.: How can you solve a higher-degree
(larger than 2) polynomial equation?
Students will write a summary describing the methods used to
solve higher degree polynomials.
![Page 2: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/2.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 1
![Page 3: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/3.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 2
![Page 4: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/4.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 3
![Page 5: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/5.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 4
![Page 6: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/6.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
![Page 7: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/7.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 5
![Page 8: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/8.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 6 w3 - 27
![Page 9: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/9.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 7 x3 - 8
![Page 10: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/10.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 8
![Page 11: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/11.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 9
![Page 12: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/12.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor by Grouping: A method used to factor some polynomials with pairs
of terms that have a common monomial factor
![Page 13: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/13.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 11 9r(t + v) – w(t + v)
![Page 14: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/14.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 12
![Page 15: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/15.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 13
![Page 16: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/16.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 14 ay – ab – cy + cb
![Page 17: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/17.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factor the polynomial completely.
Example 15 a2x –b2x + a2y –b2y
![Page 18: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/18.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Find the real-number solutions to the equation.
Example 16
![Page 19: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/19.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Find the real-number solutions to the equation.
Example 17
![Page 20: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/20.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Find the real-number solutions to the equation.
Example 18
![Page 21: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/21.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
HW #3 Practice 5-4 (1-___all) [from Alg 2 workbook]
![Page 22: Factoring by Grouping and Sum and Difference of Cubes ... · PDF fileFactoring by Grouping and Sum and Difference of Cubes (Section 5-4 – Alg 2) E. Q.: How can you solve a higher-degree](https://reader030.vdocuments.site/reader030/viewer/2022021510/5ab09c857f8b9ad9788b4688/html5/thumbnails/22.jpg)
E. Q.: How can you solve a higher-degree (larger than 2) polynomial equation? Students will write a summary describing the methods used to solve higher degree polynomials.
Factoring Steps
1) Greatest Common Factor
2) Two terms …Difference of Squares
…Sum/Difference of Cubes
3) Three terms …diamond/box
4) Four terms …grouping