# Trinomial

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

## Introduction

The meaning of trinomial as per English language is an expression that contains three terms.

In some cases, quantities are expressed in an algebraic expressions and they contain only three unlike algebraic terms through the combination of subtraction or addition or both. The algebraic expressions are called trinomials in algebra.

### Examples

Trinomials are usually formed in two different combinations of algebraic terms but they are connected by either plus $(+)$ or minus $(-)$ or both symbols in mathematics.

01

#### Unlike Algebraic Terms

A trinomial is formed purely by the interconnected three unlike algebraic terms.

##### Examples

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

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

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

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

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

02

#### Combination of Terms and a Number

A trinomial is formed by the interconnection of three unlike algebraic terms but one of them is a number.

##### Examples

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

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

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

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

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