What are
MATATAG
7
Grade
Binomial
Monomial
Polynomials
Trinomial
• define a polynomial
• classify polynomials by the
number of terms and by the
degree
OBJECTIVES
Variable
3x - 5
Constant
Coefficient
Term a 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
What is a
Polynomial?
Polynomial
A polynomial is a 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
Key Conditions for a Polynomial:
Polynomials
Form & Degree
Degree
Polynomial Standard Form
"The exponents 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.
Degree If a term 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:
Polynomials
Classification of
Classification of Polynomials
By the Number of TERMS:
General term for any expression
with one or more terms.
Examples
Classification of Polynomials
By the DEGREE: Examples:
(e.g., 6th-degree polynomial, 7th-degree polynomial, etc.)
Activity A
Put a check mark before the number if the given
expression is a polynomial and put cross mark if not
a polynomial.
Activity B Determine the classification of the polynomial
based on the number of terms and the degree.
POLYNOMIAL CLASSIFICATION
BY THE NO. OF TERMS BY THE DEGREE
Answers A
Put a check mark before the number if the given
expression is a polynomial and put cross mark if not
a polynomial.
Answers B Determine the 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
Up Next
Evaluating Algebraic
Expressions
Thank You
for Listening

MATHEMATICS GRADE 7._ 3 Polynomials.pptx

  • 1.
  • 2.
    • 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
  • 4.
  • 5.
    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
  • 6.
    Key Conditions fora Polynomial:
  • 7.
  • 8.
    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:
  • 10.
  • 11.
    Classification of Polynomials Bythe Number of TERMS: General term for any expression with one or more terms. Examples
  • 12.
    Classification of Polynomials Bythe DEGREE: Examples: (e.g., 6th-degree polynomial, 7th-degree polynomial, etc.)
  • 13.
    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
  • 17.
  • 18.