Definition Of Multinomial

A Multinomial is an algebraic expression having more than one term. For example: 9x³ + 2x² + 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.

Examples of Multinomial

5x + 9, 6y² + 2y - 5 etc are the examples of multinomial.

Video Examples: Multinomial Coefficient problem

Solved Example on Multinomial

Ques: Which of the following is a multinomial?

Choices:

A. 6xy
B. 
C. 3y5 + 3y6 - 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 3y⁵ + 3y⁶ - 3 is a polynomial with the sum of the terms.

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