Page 87 - Math Course 2 (Book 1)

Introduction to Polynomials

Your Turn! MO. 3 - L4b

Classify Polynomials
Degree of a Polynomial
3
2
Determine whether x + 3x + 8 is a polynomial. If it
is, classify it as a monomial, binomial, or
trinomial.
Vocabulary A-Z
A. Yes, it is the sum of three monomials; monomial Let us learn some vocabulary
B. Yes, it is the sum of three monomials; trinomial
C. Yes, it is the sum of two monomials; binomial
D. No, there is no variable in the last term.
Degree

The degree of a monomial is the sum of the expo-
Answer
nents of its variables. The degree of a polynomial
is the same as that of the term with the greatest
degree.
x + 5
Determine whether is a polynomial. If it
is, classify it as a monomial, binomial, or trinomial.
2
2
x + 3x –2 a + ab + b 4
2
A. Yes, it is the sum of two monomials; binomial term degree term degree
B. Yes, it has a variable and a constant; binomial
x 2 2 a 2 2
C. Yes, it is the sum of two monomials; monomial
D. No, there is a variable under a radical sign. 3x 1 ab 2 1 + 2 or 3

2 0 b 4 4
Answer
The greatest degree is 2. The greatest degree is 4.
So the degree of So the degree of
4
2
2
2
x + 3x –2 is 2 a + ab + b is 4
Real World Example
AREA
The formula for the surface area S of a cylinder Let’s Begin
with height h and radius r is the polynomial
S = 2 πrh + 2πr².

Find the surface area to the nearest tenth of a
cylinder with height 5 inches and radius 2 inches Degree of a Monomial or
Polynomial
A. 37.7 in 2
Examples
B. 88.0 in 2

C. 146.8 in 2
4
Find the degree of –10w .
D. 219.9 in 2
4
w has degree 4.

Answer
The variable w has degree 4, so
Answer
4
the degree of –10w is 4.

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