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.

Example of Multinomial

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

Solved Example on Multinomial

Which of the following is a multinomial?
A. 6xy
C. 3y5 + 3y6 - 3
Correct Answer: C
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.

Related Terms for Multinomial

  • Expression
  • Monomial
  • Polynomial
  • Sum
  • Term