Types of Degree in Polynomials - Linear, Quadratic, Cubic : Solved Examples

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Factoring of Quadratic Polynomials

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 A) 5x : This can also be written as 5x1 . As the highest degree is 1 this is called Liner B) 5x + 2 : This can also be written as 5x1 + 2 Term 5x has degree 1 Term 2 has degree 0. As the highest degree is 1 from all terms it is called linear C) 7x + 5x + 3 : This can also be written as 7x1 + 5x1 + 3 Term 7x has degree 1 Term 5x also has degree 1. Term 3 has degree 0 As the highest degree from all the terms is 1 it is called linear D) 7x - 5 + 3 : This can also written as 7x - 5 + 3 Term 7x has degree 1 Term 5 has degree 0 Term 3 has degree 0. As the highest degree from all the terms is 1 it is called linear E) 5x2 : This is a single term with degree 2 which is the highest and is called Quadratic F) 9x2 + 8y + 7 : This can also be written as 9x2 + 8y1 + 7 Term 9x has degree 2 Term 8y has degree 1 Term 7 has degree 0. As 2 is the highest degree from all the terms it is called Quadratic G) 3xy + 6z : This can also be written as 3x1y1 + 6z1 After combining degree of term 3xy, the sum total of degree is 2. Term 6z has degree 1 As 2 is the highest degree from all the terms it is called Quadratic H) 5xy - 6y : This can also be written as 5x1y1 - 6y1 After combining the degree of term 5xy the sum total of degree is 2. Term 6y has degree 1 As 2 is the highest degree from all the terms it is called Quadratic I) 5xy- 6y - 2 : This can also be written as 5x1y1 - 6y1 - 2 After combining the degree of term 5y the sum total of degree is 2. Term 6y has degree 1 Term 2 has the degree 0 As 2 is the highest degree from all the terms it is called Quadratic J) 4x3 : This is a single term having highest degree of 3 is called Cubic K) 4x3 + 4y : This can also be written as 4x3 + 4y 1 Term 4x3 has degree 3 Term 4y has the degree of 1 As 3 is the highest degree from all the terms it is called Cubic L) 4x3 + 4y - 2 : This can also be written as 4x3 + 4y1 - 2 Term 4x3 has degree 3 Term 4y has degree 1 Term 2 has degree 0 As 3 is the highest degree of all the terms it is called Cubic M) 3x2 y + 4y : This can also be written as 3x2 y1 + 4y1 After combining the degrees of term 3x2 y the sum total of degree is 3 Term 4y has degree 1 As 3 is the highest degree from all the terms it is called Cubic N) 3x2 y + 4y - 2 : This can also be written as 3x2 y1 + 4y1 - 2 After combining the degrees of term 3x2 y the sum total of degree is 3 Term 4y has degree 1 Term 2 has degree 0 As 3 is the highest degree from all the terms it is called Cubic O) 3xy2 + 2y - 2 : This can also be written as 3x1 y2 + 2y1 - 2 After combining the degrees of term 3xy2 the sum total of degree is 3 Term 2y has degree 1 Term 2 has degree 0 As 3 is the highest degree from all the terms it is called Cubic Related Question 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