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?

    A. 6xy
    B. Examples of Multinomial
    C. 3y5 + 3y6 - 3
    D. Examples of Multinomial
    Correct Answer: C


    Step 1: A multinomial is a polynomial expression which is the sum of the terms.
    Step 2: Here, 6xy, Examples of Multinomial , and Examples of Multinomial 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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