An algebraic expression that contains at least two terms is called a multinomial.

The meaning of multinomial is defined from a prefix “Multi” and a Latin term “Nomial”.

- The meaning of prefix “Multi” is more than one or many.
- The meaning of “Nomial” is a term.

As per the meanings of both terms, the meaning of a multinomial is defined as an algebraic expression with more than one term. It is actually defined to represent a quantity in mathematical form by two or more unlike terms.

In a multinomial, two or more unlike terms are connected mathematically by either plus or minus or both signs for expressing an algebraic expression in mathematical form. It is also called as a polynomial of two or more terms and it is originally formed in two different ways in algebra.

Except monomial, all polynomials like binomial, trinomial, quadrinomial and so on are best examples for multinomials.

A multinomial is purely formed by two or more unlike algebraic terms.

$(1) \,\,\,\,\,\,$ $a+4b$

$(2) \,\,\,\,\,\,$ $m-mn+mno$

$(3) \,\,\,\,\,\,$ $p^2$ $-\sqrt{7}q^2$ $-4r^2$ $-s^2$

$(4) \,\,\,\,\,\,$ $-u$ $+$ $\dfrac{4}{5}u^5t$ $-$ $ut^2$ $+$ $u^2t^2$ $-$ $5u^2t^3$

$(5) \,\,\,\,\,\,$ $2x$ $+$ $y$ $+$ $6xy$ $-$ $x^2y$ $-$ $0.175xy^2$ $+$ $x^2y^3$

A multinomial is also formed by a number and one or more algebraic terms.

$(1) \,\,\,\,\,\,$ $x-5$

$(2) \,\,\,\,\,\,$ $a^2-b^2+0.15$

$(3) \,\,\,\,\,\,$ $m$ $-\sqrt[3]{5}m^2$ $-m^3$ $-2$

$(4) \,\,\,\,\,\,$ $p^3$ $+$ $\dfrac{8}{3}p^2q$ $-$ $pq^3$ $-$ $pq$ $+6$

$(5) \,\,\,\,\,\,$ $j^2$ $+$ $3j^3$ $+$ $4j^4k$ $-$ $8j^5$ $+$ $0.9j^6$ $+$ $3j^7$ $-$ $10$

Latest Math Topics

Jan 06, 2023

Jan 03, 2023

Jan 01, 2023

Dec 26, 2022

Dec 08, 2022

Latest Math Problems

Nov 25, 2022

Nov 02, 2022

Oct 26, 2022

Oct 24, 2022

Sep 30, 2022

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the maths problems in different methods with understandable steps.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved