TYPES OF POLYNOMIALS

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You can classify polynomials to different types according to their degree and the number of terms they have. 

Types of Polynomials Based on Degree

Degree

0

1

2

3

4

5

6 or more

Type

Constant

Linear

Quadratic

Cubic

Quartic

Quintic

6th degree, 7th degree and so on

Types of Polynomials Based on Number of Terms

Terms

1

2

3

4 or more

Type

Monomial

Binomial

Trinomial

Polynomial

Identify the type of each polynomial based on its degree and number of terms. 

Example 1 : 

7y

Solution : 

Degree : 1

Terms : 1

(7y) is a linear monomial. 

Example 2 : 

2 - 5x

Solution : 

Degree : 1

Terms : 2

(2 - 5x) is a linear binomial. 

Example 3 : 

3z2 - 5z + 2

Solution : 

Degree : 2

Terms : 3

(3z2 - 5z + 2) is a quadratic trinomial. 

Example 4 : 

4a- 2a2 - a + 3

Solution : 

Degree : 3

Terms : 4

(4a- 2a- a + 3) is a cubic polynomial. 

Example 5 : 

7x+ 5x- 3x2 - 4x + 3

Solution : 

Degree : 6

Terms : 5

(7x+ 5x- 3x2 - 4x + 3) is a 6th degree polynomial. 

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