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”.
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.
The trinomials are also formed purely by three unlike algebraic terms in some cases.
$(1) \,\,\,\,\,\,$ $a+b+c$
$(2) \,\,\,\,\,\,$ $x-y+z$
$(3) \,\,\,\,\,\,$ $pq+qr+rs$
$(4) \,\,\,\,\,\,$ $-mn-2m^2n^2-3m^3n^3$
$(5) \,\,\,\,\,\,$ $u-\dfrac{3}{7}u^2-\sqrt[4]{8}u^3$
The trinomials are also formed by three unlike terms but two terms are unlike algebraic terms and other term is a number.
$(1) \,\,\,\,\,\,$ $a+b-7$
$(2) \,\,\,\,\,\,$ $x-2y-3$
$(3) \,\,\,\,\,\,$ $-mn^2-mn-0.789$
$(4) \,\,\,\,\,\,$ $\dfrac{1}{2}pqr+pq+6$
$(5) \,\,\,\,\,\,$ $ut+\dfrac{3}{5}t^2-\sqrt{11}$
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