Lesson 9­2 Factoring Using the Distributive Property with answers.notebook April 22, 2013
EQ: How do we factor polynomials using the Distributive Property and how do we solve quadratic equations of the form ax2 + bx = 0?
Questions/Main Ideas Lesson 9­2 Factoring Using the Distributive Property
factoring ­ means to find the completely factored form
Examples
Factor using the distributive property
1. 15x + 25x2 2. 18a2bc2 ­ 48abc3
Questions/Main Ideas
3. 12xy + 24xy2 ­ 30x2 y4
Lesson 9­2 Factoring Using the Distributive Property with answers.notebook April 22, 2013
Questions/Main Ideas Factoring by Grouping
A polynomial can be factored by grouping if all of the following situations exist:
1.
There are four or more terms.
2. Terms with common factors can be grouped together.
3. The two common factors are identical or are additive inverses of each other.
Questions/Main Ideas Examples
Factor by grouping.
4. 2xy + 7x ­ 2y ­ 7
5.
15a ­ 3ab + 4b ­ 20
Lesson 9­2 Factoring Using the Distributive Property with answers.notebook April 22, 2013
Questions/Main Ideas 6.
10x2 ­ 14xy ­ 15x + 21y
Lesson 9­2 Factoring Using the Distributive Property with answers.notebook April 22, 2013
Questions/Main Ideas Zero Product Property
If the product of two factors is 0, then at least one of the factors must be 0.
If a b = 0, then either a = 0, b = 0, or both a and b = 0.
Examples
Solve
7. (x ­ 2)(4x ­ 1) = 0
8.
7d2 ­ 35d = 0
Lesson 9­2 Factoring Using the Distributive Property with answers.notebook April 22, 2013
Questions/Main Ideas
9.
4y = 12y2
Summary
Assignment: page 484 16­38 even
Lesson 9­2 Factoring Using the Distributive Property with answers.notebook April 22, 2013
Lesson 9­2 Factoring Using the Distributive Property with answers.notebook April 22, 2013
Lesson 9­2 Factoring Using the Distributive Property with answers.notebook April 22, 2013
Lesson 9­2 Factoring Using the Distributive Property with answers.notebook April 22, 2013
Lesson 9­2 Factoring Using the Distributive Property with answers.notebook April 22, 2013