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Chapter 12: Factorisation

    Introduction

    Factors of Algebraic Expressions

    Need of Factorisation

    Method of Common Factors

    Factorisation by grouping the terms

    Factorisation using Identities

    Factors of the form (x+a)(x+b) = x² + (a+b)x + ab

    Division of Algebraic Expressions

    Division of a Monomial by another Monomial

    Division of an Expression by a Monomial

    Division of Algebraic Expressions Continued (Polynomial ÷ Polynomial)

    Exercise 12.1

    Exercise 12.2

    Exercise 12.3

    Exercise 12.4

    What We Have Discussed?

    Easy Level Worksheet

    Moderate Level Worksheet

    Hard Level Worksheet

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Chapter 12: Factorisation > Division of Algebraic Expressions

Division of Algebraic Expressions

We have covered the addition, subtraction and multiplication of algebraic expressions. The only arithematic operation remaining is division of the expressions which we will be looking into in this section.

We know that division is the inverse operation of multiplication. Thus, for eg:

7 × 8 = 56 gives

568 = 7 (or) 567 = 8

We will now do the same for the division of algebraic expressions.

For example,

(i) 2x×3x2 = 6x3

Therefore,

6x3÷2x = and also

6x3÷3x2 =

(ii) 5x(x + 4) = 5x2+20x

Therefore,

5x2+20x ÷ 5x = and also

5x2+20x ÷ (x + 4) =

We shall now look closely at how the division of one expression by another can be carried out. To begin with we shall consider the division of a monomial by another monomial.