Chapter 7 Polynomial Equations And Factoring - 7.1 Polynomials Worksheet Page 3
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1
2
3
4
5
6Lesson
7.1
Lesson Tutorials
A monomial is a number, a variable, or a product of a number and one or
Key Vocabulary
more variables with whole number exponents.
monomial, p. 330
Not monomials
Reason
Monomials
degree of a
monomial, p. 330
Monomials must have whole
− 4
1.5
x
polynomial, p. 331
number exponents.
1
binomial, p. 331
2
—
y
Monomials cannot have
2
2
trinomial, p. 331
−
—
variables in the denominator.
z
degree of a
2
2.5x
y
polynomial, p. 331
Monomials cannot have
y
7
variable exponents.
The degree of a monomial is the sum of the exponents of the variables in
the monomial.
1 1
Finding the Degrees of Monomials
EXAMPLE
Find the degree of each monomial.
2
a. 5 x
The exponent of x is 2.
So, the degree of the monomial is 2.
1
3
b. −
—
xy
2
The exponent of x is 1 and the exponent of y is 3.
The sum of the exponents is 1 + 3 = 4.
So, the degree of the monomial is 4.
c. − 3
Remember
You can rewrite − 3 as − 3x
0
.
The exponent of x is 0.
For any nonzero
0
= 1.
number a, a
So, the degree of the monomial is 0.
Find the degree of the monomial.
1. − 3x
4
3
2
Exercises 7–14
2. 7c
d
5
4. − 20.5
—
3.
y
3
330
Chapter 7
Polynomial Equations and Factoring
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