Polynomials Worksheet
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10Unit 3 Polynomials
Study Guide
7-5 Polynomials
Part 1: Classifying Polynomials by Terms
Some polynomials have specific names based upon the number of terms they have:
# of Terms
Name
1
Monomial
2
Binomial
3
Trinomial
4 or more
Polynomial
Monomial: any number, variable, or product of numbers and variables
with whole number exponents.
x
4
3
5 , x ,
3 y
x
Examples:
,
4
Binomial: the sum or difference of two unlike monomials
2
3
3
4
x
+
5
y
−
12
xy
−
12
x
y
4 −
x
5
Examples:
,
,
Trinomial: the sum or difference of three unlike monomials
2
2
2
Examples:
4
x
+
3
x
y
+
5
y
,
−
2
x
+
5
x
−
3
Polynomial: the sum or difference of four or more unlike monomials
3
2
3
2
3
2
Examples:
x
−
x
+
x
−
1
,
2
g
−
g
+
h
−
h
+
2
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