**Definition of Multinomial**

- A Multinomial is an algebraic expression having more than one term. For example: 9
*x*^{3}+ 2*x*^{2}+ 5

**More about Multinomial**

- A multinomial is also called a polynomial.
- The operations involved in forming a multinomial are addition, subtraction, multiplication, and division (+, -, ×, ÷).
- Sum or product of two or more multinomials is also a multinomial, but their subtraction or division may not result in a multinomial.

**Example of Multinomial**

- 5
*x*+ 9, 6*y*^{2}+ 2*y*– 5 etc are the examples of multinomial.

**Solved Example on Multinomial**

Which of the following is a multinomial?

Choices:

A. 6xy

B.

C. 3y^{5}+ 3y^{6}- 3

D.

Correct Answer: C

Solution:

Step 1:A multinomial is a polynomial expression which is the sum of the terms.

Step 2:Here, 6xy, , and are the monomial expressions as they have only single terms in the expression.

Step 3:So, the expression 3y^{5}+ 3y^{6}– 3 is a polynomial with the sum of the terms.

**Related Terms for Multinomial**

- Expression
- Monomial
- Polynomial
- Sum
- Term