Types of Degree in Polynomials - Linear, Quadratic, Cubic

Algebraic Expression	Algebraic Equation	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
Find Value of Polynomial	Find Zero of Polynomial	Remainder Theorem in Polynomial	Linear Equations	Quadratic Equation
Factoring of Quadratic Polynomials

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 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