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