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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.
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
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
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
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
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.
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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]
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
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