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3.2 Monomials, Polynomials and Factoring

Monomial : An algebraic expression which contains only one term is called the monomial expression. For example

Binomial : An algebraic expression consisting of two terms is called a Binomial expression. For example, ( 4 a + 5 b ),

Similarly, we can define trinomial etc.

Like terms : Terms which involve the same letter and the same index ( i.e. power ) are ‘like terms’ . For example 2a and 3 a , , , 3 xy and - xy etc.

Addition and Subtraction of Monomials :

To add or subtract monomials, use the same rules as with directed (signed) numbers, provided the terms are alike.

Example Add 20 a2 b c + 4 a2 b c

Solution : 20 a2 b c + 4 a2 b c = ( 20 + 4 ) a2 b c

                                               = 24 a2 b c

Note that the addition of like terms is done by adding their coefficients (taken with their signs ) and multiplying this sum by the common letter or letters.

Perform the operations indicated :

Example 7 x - 2 x

Solution : 7 x - 2 x = ( 7 - 2 ) x

                               = 5 x

Example 10 x2 + 3 x2 - 5 x2

Solution : 10 x2 + 3 x2 - 5 x2 = ( 10 + 3 - 5 ) x2

                                               = 8 x2

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Index

3.1 - Introduction
3.2 - Monomial, Polynomials
3.3 - H.C.F and L.C.M

Chapter 4

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