Arithmetic
Additive Identity
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Algebraic Equation
Algebraic Expression
Cartesian System
Linear Equations
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
Home >> Polynomials >> Types of Degree / Powers in Polynomials >>

Types of Degree in Polynomials - Linear, Quadratic, Cubic

Ordering of Polynomials Types of Polynomials Addition of Polynomials Subtraction of Polynomials Multiplication of Polynomials
Division of Polynomials Types of Degree / Powers in Polynomials Difference between Polynomials of Integers & Rationals Factoring of Quadratic Polynomials Find Value of Polynomial
Find Zero of Polynomial Remainder Theorem in Polynomial

Before you understand this topic you should read What are Terms in Polynomial

Degree 1 - Linear Polynomials - After combining the degrees of terms if the highest degree is 1 it is called Linear Polynomials

Examples of Linear Polynomials are

  • 2x : This can also be written as 2x1, as the highest degree of this term is 1 it is called Linear Polynomial

  • 2x + 2 :
    This can also be written as 2x1 + 2
    Term 2x has the degree 1 .
    Term 2 has the degree 0.
    As the highest degree we can get is 1 it is called Linear Polynomial

  • 2x + 2y + 2 :
    This can also be written as 2x1 + 2y1 + 2
    Term 2x has the degree 1
    Term 2y also has the degree 1
    Term 2 has the degree 0
    As the highest degree we can get is 1 it is called Linear Polynomial




    Degree 2 - Quadratic Polynomials - After combining the degrees of terms if the highest degree of any term is 2 it is called Quadratic Polynomials

    Examples of Quadratic Polynomials are

  • 2x2 : This is single term having degree of 2 and is called Quadratic Polynomial

  • 2x2 + 2y :
    This can also be written as 2x2 + 2y1
    Term 2x2 has the degree of 2
    Term 2y has the degree of 1
    As the highest degree we can get is 2 it is called Quadratic Polynomial

  • 2x2 + 2y + 2 :
    This can also be written as 2x2 + 2y1 + 2
    Term 2x2 has the degree 2
    Term 2y has the degree 1
    Term 2 has the degree 0
    As the highest degree we can get is 2 it is called Quadratic Polynomial

  • 2xy + 2y :
    This can also be written as 2x1y1 + 2y1
    After combining the degrees of term 2xy the sum total of degree is 2.
    Term 2y has the degree 1
    As the highest degree we can get is 2 it is called Quadratic Polynomial

  • 2xy + 2y - 1 -
    This can also be written as 2x1y1 + 2y1 - 1
    After combining the degrees of term 2xy, the sum total of degree is 2.
    Term 2y has the degree 1
    Term 1 has the degree 0.
    As the highest degree we can get is 2 it is called Quadratic Polynomial




    Degree 3 - Cubic Polynomials - After combining the degrees of terms if the highest degree of any term is 3 it is called Cubic Polynomials

    Examples of Cubic Polynomials are

  • 2x3 : This is a single term having highest degree of 3 and is therefore called Cubic Polynomial.

  • 2x3 + 2y2 :
    Term 2x3 has the degree 3
    Term 2y2 has the degree 2
    As the highest degree we can get is 3 it is called Cubic Polynomial

  • 2x3 + 2y2 + 2 :
    Term 2x3 has the degree 3
    Term 2y2 has the degree 2.
    Term 2 has the degree 0
    As the highest degree we can get is 3 it is called Cubic Polynomial

  • 2x2z + 2y :
    This can also be written as 2x2z1 + 2y1
    After combining the degrees of term 2x2z, the sum total of degree is 3,
    Term 2y has degree 1
    As the highest degree we can get is 3 it is called Cubic Polynomial

  • 2xyz + 2y + 2 : After combining the degrees of term 2xyz, the sum total of degree is 3, as highest degree of term is 3 it is called Cubic Polynomial

  • 2x2 y + 2y + 2 :
    This can also be written as 2x2 y1 + 2y1 + 2
    After combining the degrees of term 2x2 y, the sum total of degree is 3
    Term 2y has the degree 1
    Term 2 has the degree 0
    As the highest degree we can get is 3 it is called Cubic Polynomial


  • Follow us on :

    Study More Solved Questions / Examples

  • Which of the following polynomials are Linear, Quadratic or Cubic

    A) 5x
    B) 5x + 2
    C) 7x + 5x + 3
    D) 7x - 5x + 3
    E) 5x2
    F) 9x2 + 8y + 7
    G) 3xy + 6z
    H) 5xy - 6y
    I) 5xy - 6y - 2
    J) 4x3
    K) 4x3 + 4y
    L) 4x3 + 4y - 2
    M) 3x2 y + 4y
    N) 3x2 y + 4y - 2
    O) 3xy2 + 2y - 2
  • Subscribe for More Examples

    Terms & Conditions

    All rights reserved