Math Doubts

Trinomials

An algebraic expression that contains three terms is called a trinomial.

Introduction

The meaning of trinomial is defined from a prefix “Tri” and a Latin term “Nomial”.

  1. The meaning of Prefix “Tri” is three.
  2. The meaning of “Nomial” is a term.

On the basis of the meanings of both terms, the term trinomial is defined in algebra as an algebraic expression with three terms. A trinomial is usually formed by three unlike terms to represent a quantity in mathematical form.

In a trinomial, the three unlike terms are connected by plus or minus or both to form an algebraic expression. In algebra, a trinomial is also called as a polynomial of three terms and it is possibly formed in two different forms.

Three Unlike Algebraic Terms

The trinomials are also formed purely by three unlike algebraic terms in some cases.

Examples

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

$(2) \,\,\,\,\,\,$ $x-y+z$

$(3) \,\,\,\,\,\,$ $pq+qr+rs$

$(4) \,\,\,\,\,\,$ $-mn-2m^2n^2-3m^3n^3$

$(5) \,\,\,\,\,\,$ $u-\dfrac{3}{7}u^2-\sqrt[4]{8}u^3$

Two terms and a Number

The trinomials are also formed by three unlike terms but two terms are unlike algebraic terms and other term is a number.

Examples

$(1) \,\,\,\,\,\,$ $a+b-7$

$(2) \,\,\,\,\,\,$ $x-2y-3$

$(3) \,\,\,\,\,\,$ $-mn^2-mn-0.789$

$(4) \,\,\,\,\,\,$ $\dfrac{1}{2}pqr+pq+6$

$(5) \,\,\,\,\,\,$ $ut+\dfrac{3}{5}t^2-\sqrt{11}$

Math Doubts

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

Maths Topics

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

Maths Problems

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

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2021 Math Doubts, All Rights Reserved