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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 > What We Have Discussed?

What We Have Discussed?

Factorisation is a process of writing the given expression as a of its factors.

A factor which cannot be further expressed as product of factors is an factor.

Expressions which can be transformed into the form: a2 + 2ab + b2 ; a2 - 2ab + b2 ; a2 - b2 and x2 + (a + b) x + ab can be factorised by using .

If the given expression is of the form x2 + (a + b) x + ab, then its factorisation is .

Division is the of multiplication. This concept is also applicable to the division of algebraic expressions.