Lesson 9.2 Multiplying and Factoring.notebook
April 16, 2013
9.2 Multiplying and Factoring
Objectives
• Be able to multiply monomials and polynomials
• Be able to use GCFs to factor polynomials
VOCAB
Mononomials: an expression with 1 term
Polynomials: an expression with multiple terms
3
2x2y
Binomials: an expression with 2 terms 3x + 4
2y + 3x
­2x + 7
24x7 ­x4 + 12
Trinomials: an expression with 3 terms ­5x2 + 7x + y
3t2 + 7x +4t
Lesson 9.2 Multiplying and Factoring.notebook
April 16, 2013
How do we simplify these three problems?
1. 4(6 + 5x)
2. 7(p ­ 2)
3. x(3 + y)
Are we Distributive Property Champions?
Let's practicing distributing monomials and polynomials.
Lesson 9.2 Multiplying and Factoring.notebook
April 16, 2013
Example 4: ­4y2(5y4­3y2+2)
Monomial
Trinomial
Example 5: Always make sure your answer is in standard form with big to small exponents!
3x4(5x2­6x3­ x)
Lesson 9.2 Multiplying and Factoring.notebook
April 16, 2013
Greatest Common Factor GCF
The biggest term that goes into every term of our polynomial
Example 6. Find the GCF
Ask yourself: What do all these terms have in common?
First look at the numbers
Second look at the variables
4x3 + 12x2 ­8x
Lesson 9.2 Multiplying and Factoring.notebook
April 16, 2013
7. Find the GCF of the terms of 4x3 + 12x2 ­8x. Then factor.
Ask yourself: What do all these terms have in common?
Factoring is the opposite of distributing. 8. Factor each polynomial.
a) 2x + 12
b) 2x­2
6x 4 + 18x2
c) d) 8x2 + 16x ­ 2
Lesson 9.2 Multiplying and Factoring.notebook
9. FACTOR.
5x5 ­ 25x2 + 10x
April 16, 2013