Page 350 - Algebra 1

L E S S O N Adding and Subtracting Polynomials 53
Warm Up
1. Vocabulary A part of an expression that is added to or subtracted from
(2)
Simplify.
the other parts is called a .
2. ( ) (32) 9
_4 0
_12 -1 3.( )
(32) 8
4. Find the GCF of 25b3, 50b2, and 100b.
(38)
New Concepts A monomial is the product of numbers and/or variables with whole-number exponents.
Monomials Not Monomials
_3 __
x, x, -xy, 0.75x2, 3 1, 2, x-y, 0.75x-2 2 xx3
The degree of a monomial is the sum of the exponents of the variables in the monomial. A constant has a degree of 0.
Finding the Degree of Monomials
Find the degree of each monomial.
Example
1
a. -7x2yz3 SOLUTION
-7x2yz3 2+1+3=6 The degree of
b. 8xy2z SOLUTION
8xy2z 1+2+1=4
The degree of c. 122ab3c
SOLUTION
122ab3c 1+3+1=5 The degree of
Find the sum of the exponents of the variables.
the monomial is 6.
Find the sum of the exponents of the variables.
the monomial is 4.
Find the sum of the exponents of the variables.
the monomial is 5.
Caution
Remember y = y1
Caution
Be careful and do not include the exponent on the base 12. Use only the exponents of the variables to find the degree.
Lesson 53 335