Polynomial Definitions
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1
2Topics of Algebra 2
Name: ____________________________
6.2a Homework
Hour: ______
Standard Form:
When the terms are arranged with the highest exponents first
and descending to the terms with the lowest exponents.
Polynomial:
An expression with one or more terms.
Monomial:
A polynomial with only one term.
Binomial:
A polynomial with exactly 2 terms.
Trinomial:
A polynomial with exactly 3 terms.
Degree:
When a polynomial is in standard form, the degree
is the exponent of the first term.
Leading Coefficient: When a polynomial is in standard form,
the LC is the first number before the variable.
Constant:
A polynomial function with degree of 0 – meaning there is no variable.
Linear:
A polynomial function with degree of 1.
Quadratic:
A polynomial function with degree of 2.
Cubic:
A polynomial function with degree of 3.
Quartic:
A polynomial function with degree of 4.
F
C
#
L
D
C
D
UNCTION
LASSIFY BY
EADING
EGREE
LASSIFY BY
EGREE
C
OF TERMS
OEFFICIENT
Constant
Monomial
Linear
Rewrite in standard form if
Binomial
Examples:
Examples:
Quadratic
necessary.
Trinomial
-3, 5, 1
0, 1, 2, 3, or 4
Cubic
Polynomial
Quartic
( ) = −6
+ 8
1.
( ) = −
2.
3.
( ) = 7 − 2
+
4.
( ) = 4
1
5.
( ) =
− 9
2
6.
( ) =
+ − 1
7.
( ) = 5
− 7
+ − 8
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