This document discusses how to classify polynomials based on the number of terms and degree. Polynomials are named according to whether they have 1, 2, or 3 terms, making them monomials, binomials, or trinomials respectively. The degree of a polynomial is the greatest exponent of any term. Various examples of polynomials are given and classified based on these naming conventions.

1. CLASSIFYING
POLYNOMIALS

2. A _______________ is a sum
or difference of terms.
Polynomials have special
names based on their
_______ and the number of
_______ they have.
POLYNOMIAL
DEGREE
TERMS

3. NAMING BY NUMBER OF TERMS
POLYNOMIALS
MONOMIALS
(1 TERM)
BINOMIALS
(2 TERMS)
TRINOMIALS
(3 TERMS)

4. Classify each polynomial based on
the number of terms that it has.
Ex. 1: 5x2
+ 2x – 4
Ex. 2: 3a3
+ 2a
Ex. 3: 5mn2
Ex. 4: 3x2
Ex. 5: 4x2
– 7x
Ex. 6: -9x2
+ 2x – 5
Ex. 7: 5ab2
Ex. 8: -9a2
bc3
– 2ab4
TRINOMIAL
BINOMIAL
MONOMIAL
MONOMIAL
BINOMIAL
TRINOMIAL
MONOMIAL
BINOMIAL

5. NAMING BY THE DEGREE
The __________ of a polynomial is the exponent of the term with the
greatest exponent(s).
DEGREE
Find the degree of each polynomial below.
Ex. 1: 5x + 9x2
Degree:
Ex. 2: 3x3
+ 5x – x2
Degree:
Ex. 3: -4x + 7 Degree:
Ex. 4: -x4
+ 2x2
+ 5x3
– x Degree:
2
3
1
4
BINOMIAL
TRINOMIAL
BINOMAL
POLYNOMIAL

6. The degree of a monomial is the sum of the
exponents.
Ex. 5: 5xy + 9x2
y3
Degree:
Ex. 6: 3x3
y5
+ 5xy – x2
y Degree:
Ex. 7: -4xy + 7y3
Degree:
Ex. 8: -x4
y + 2x2
y5
Degree:
5
ADD 2 & 3ADD 3 & 5
8
3
ADD 2 & 5
7
BINOMIAL
TRINOMIAL
BINOMIAL
BINOMIAL

7. Classify each polynomial above using its degree and
number of terms.
Ex. 1
Ex. 2
Ex. 3
Ex. 4
Ex. 5
Ex. 6
Ex. 7
Ex. 8
QUADRATIC BINOMIAL
CUBIC TRINOMIAL
LINEAR BINOMIAL
QUARTIC POLYNOMIAL
5TH
DEGREE BINOMIAL
8TH
DEGREE TRINOMIAL
CUBIC BINOMIAL
7TH
DEGREE BINOMIAL