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Home >> Polynomials >> Types of Degree / Powers in Polynomials >> Types of Degree in Polynomials  Linear, Quadratic, Cubic
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 2x^{1}, as the highest degree of this term is 1 it is called Linear Polynomial
2x + 2 :
This can also be written as 2x^{1} + 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 2x^{1} + 2y^{1} + 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
2x^{2} : This is single term having degree of 2 and is called Quadratic Polynomial
2x^{2} + 2y :
This can also be written as 2x^{2} + 2y^{1}
Term 2x^{2} 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
2x^{2} + 2y + 2 :
This can also be written as 2x^{2} + 2y^{1} + 2
Term 2x^{2} 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 2x^{1}y^{1} + 2y^{1}
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 2x^{1}y^{1} + 2y^{1}  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
2x^{3} : This is a single term having highest degree of 3 and is therefore called Cubic Polynomial.
2x^{3} + 2y^{2} :
Term 2x^{3} has the degree 3
Term 2y^{2} has the degree 2
As the highest degree we can get is 3 it is called Cubic Polynomial
2x^{3} + 2y^{2} + 2 :
Term 2x^{3} has the degree 3
Term 2y^{2} has the degree 2.
Term 2 has the degree 0
As the highest degree we can get is 3 it is called Cubic Polynomial
2x^{2}z + 2y :
This can also be written as 2x^{2}z^{1} + 2y^{1}
After combining the degrees of term 2x^{2}z, 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
2x^{2} y + 2y + 2 :
This can also be written as 2x^{2} y^{1} + 2y^{1} + 2
After combining the degrees of term 2x^{2} 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) 5x^{2} F) 9x^{2} + 8y + 7 G) 3xy + 6z H) 5xy  6y I) 5xy  6y  2 J) 4x^{3} K) 4x^{3} + 4y L) 4x^{3} + 4y  2 M) 3x^{2} y + 4y N) 3x^{2} y + 4y  2 O) 3xy^{2} + 2y  2 
 
