8th Class Mathematics Algebraic Expressions Concept of Monomial, Binomial and Trinomial

         Introduction

An algebraic expression is an expression in one or more variables having many terms. Depending on the number of terms it may be monomials, binomials, trinomials or polynomials. Like in the case of real numbers we can also operate the algebraic expression. Previously we have learnt to add and subtract the algebraic expression. In this chapter we will learn, how to multiply or divide the algebraic expression. We will also learn how to find the linear factors of the algebraic expression as in the case of real numbers. The constants multiplied with the variables in the algebraic expression are called the coefficient of the terms. The coefficient may be positive or negative.  

       Concept of Monomial, Binomial and Trinomial  

            Monomials

The polynomial having one term is called monomial.  

\[{{x}^{5}},7x,9xy\] are monomials as they contain only one term.  

            Binomial

The polynomial which contains two terms is called binomials.  

\[\text{4a}+\text{3b},\text{ 2y}+\text{3y}\] etc. are binomials because they contain two terms.  

            Trinomial

A trinomial is a polynomial containing three terms.  

\[3x+\text{5y}+\text{7z},\text{ 2a}+\text{6b}+\text{7c}\] are the polynomials containing three terms.