This document discusses multiplying monomials and factoring polynomials. It provides examples of simplifying expressions by multiplying monomials and finding the greatest common factor of polynomials. It then introduces factoring polynomials using the greatest common factor method, which involves first factoring out the greatest common factor from the coefficients and then factoring out the greatest common factor of the variables based on the lowest exponent.

1. Ch.11.2_11.3_DistributingAndFactoringPolynomials.notebook
1
January 31, 2012
Chapter 11.2 and 11.3
Multiplying by a Monomial
Factoring Polynomials
Review
Simplify the following expressions
(x3
)(x4
) (4x)(x + 3)3(5 + x)
New Stuff
Find the Area
Simplify
5ef3
(h + 3j + k2
f)

2. Ch.11.2_11.3_DistributingAndFactoringPolynomials.notebook
2
January 31, 2012
Review
Find the greatest common factor (GCF)
x3
and x5
16x and 20
24 and 36
New Stuff
Factor the following polynomials
15 and 27
18r3
+ 27r2
9(2r3
+ 3r2
)
9r2
(2r + 3)
GCF
Leftovers
6a5
b ­ 12a4
b2
­ 9a3
b3
First factor the GCF from
the coefficients
Next, factor the GCF from
the variables (pull out the LOWEST
exponent)