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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

• 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