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Math 1300
Section 3.1
1
Polynomials
A
polynomial
is an expression made up of terms called monomials.
A
monomial
is an expression made up of one realnumber coefficient and (at least) one variable
to some wholenumber power.
Examples are 3; 7
x
; 9
x
2
y
3
z
5
.
A polynomial made up of two monomials added to or subtracted from each other is called a
binomial
.
Examples: 3
xy
+ 6
z
2
; 2
x
– 8
x
3
.
A polynomial made up of three monomials added to or subtracted from each other is called a
trinomial
.
Examples: 1/2
gt
2
–
vt
+
a
;
3
x
2
+ 9
x
6
– 6.
(Generally we do not name polynomials with four or more terms.)
Polynomials cannot have powers that are not whole numbers.
Example:
1
2
2
2
4
x
x
+
,
2
3
y
y



are
not
polynomials.
Like terms are two monomials that are the same, or differ only by their numerical coefficients.
Example 1:
Determine if each of these pairs of monomials are like terms.
A.
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This note was uploaded on 02/22/2012 for the course MATH 1300 taught by Professor Staff during the Spring '08 term at University of Houston.
 Spring '08
 Staff
 Math, Polynomials

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