CLASSIFYING POLYNOMIALS

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Polynomials can be classified based on their degree and the number of terms they have. 

Classification of Polynomials Based on Degree

Degree

0

1

2

3

4

5

6 or more

Classification

Constant

Linear

Quadratic

Cubic

Quartic

Quintic

6th degree, 7th degree and so on

Classification of Polynomials Based on Number of Terms

Terms

1

2

3

4 or more

Classification

Monomial

Binomial

Trinomial

Polynomial

Classify each polynomial according to its degree and number of terms. 

Example 1 : 

5x

Solution : 

Degree : 1

Terms : 1

(5x) is a linear monomial. 

Example 2 : 

3x + 2

Solution : 

Degree : 1

Terms : 2

(3x + 2) is a linear binomial. 

Example 3 : 

x2 + x + 4

Solution : 

Degree : 2

Terms : 3

(x2 + x + 4) is a quadratic trinomial. 

Example 4 : 

5x- x2 + 5x - 1

Solution : 

Degree : 3

Terms : 4

(5x- x2 + 5x - 1) is a cubic polynomial. 

Example 5 : 

2x- 9x- 5x- x + 3

Solution : 

Degree : 7

Terms : 5

(2x- 9x- 5x- x + 3) is a 7th degree polynomial. 

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