MULTINOMIAL
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. 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 3y5 + 3y6 - 3 is a polynomial with the sum of the terms.
Quick Summary
- Multinomials are also called polynomials.
- Operations involved are addition, subtraction, multiplication, and division.
- Sum or product of multinomials results in a multinomial, but subtraction or division may not.
🍎 Teacher Insights
Emphasize the connection between polynomials and multinomials. Provide various examples and counterexamples to solidify understanding. Use visual aids to demonstrate combining like terms.🎓 Prerequisites
- Basic Algebra
- Polynomials
- Exponents
Check Your Knowledge
Q1: Which of the following is a multinomial?
Q2: Which operation will always result in a multinomial, given two multinomials?
Frequently Asked Questions
Q: Is every polynomial a multinomial?
A: Yes, the terms 'multinomial' and 'polynomial' are often used interchangeably.
Q: Can a multinomial have negative exponents?
A: Generally, multinomials (polynomials) have non-negative integer exponents.