• define apolynomial
• classify polynomials by the
number of terms and by the
degree
OBJECTIVES
3.
Variable
3x - 5
Constant
Coefficient
Terma part of the expression
separated by + or -
(number, variable, or combination)
a symbol/letter that
represents 1 or more value
a number/symbol that
represents 1 fixed value
a number that multiplies a variable
Numerical Coefficient:
Literal Coefficient: x
3
3x -5
,
(includes the operations in front as its sign )
Review
Algebraic Expressions
Polynomial
A polynomial isa special kind of
algebraic expression consisting
of one or more terms, where
each term is a constant,
variable or a product of
constants(coefficient) and
variables raised to a non-
negative integer exponent
Poly “many”
nominal “name”
Greek Word
Degree
Polynomial Standard Form
"Theexponents is in decreasing order"
The degree of a term is the exponent of its variable
while the degree of the polynomial is the highest
degree appearing in any of the terms in that polynomial.
9.
Degree If aterm consists of two or more variables, the
degree of a term is the sum of the exponents of the
variables
Degree: 4 2 4
1+3
6 1 5
2+3
3 0
Degree of Polynomial: 6
Standard Form:
Activity A
Put acheck mark before the number if the given
expression is a polynomial and put cross mark if not
a polynomial.
14.
Activity B Determinethe classification of the polynomial
based on the number of terms and the degree.
POLYNOMIAL CLASSIFICATION
BY THE NO. OF TERMS BY THE DEGREE
15.
Answers A
Put acheck mark before the number if the given
expression is a polynomial and put cross mark if not
a polynomial.
16.
Answers B Determinethe classification of the polynomial
based on the number of terms and the degree.
POLYNOMIAL CLASSIFICATION
BY THE NO. OF TERMS BY THE DEGREE
trinomial
polynomial
binomial
polynomial
polynomial
binomial
trinomial
monomial
binomial
polynomial
cubic
quintic
quadratic
quintic
6th degree
linear
quartic
constant
quintic
6th degree