Math Doubts


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


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.


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

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

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

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

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

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.


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

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

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

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

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

Math Questions

The math problems with solutions to learn how to solve a problem.

Learn solutions

Math Worksheets

The math worksheets with answers for your practice with examples.

Practice now

Math Videos

The math videos tutorials with visual graphics to learn every concept.

Watch now

Subscribe us

Get the latest math updates from the Math Doubts by subscribing us.

Learn more

Math Doubts

A free math education service for students to learn every math concept easily, for teachers to teach mathematics understandably and for mathematicians to share their maths researching projects.

Copyright © 2012 - 2023 Math Doubts, All Rights Reserved