Скачать или смотреть 1.1) Maths Class 8 Chapter 14 Factorisation- What Is Factorisation And Methods Of Factorisation

1.1) Maths Class 8 Chapter 14 Factorisation- What Is Factorisation And Methods Of Factorisation

We will go topic wise
14.1 Introduction
14.1.1 Factors of natural numbers
14.1.2 Factors of algebraic expressions
14.2 What is Factorisation?
14.2.1 Method of common factors
14.2.2 Factorisation by regrouping terms
14.2.3 Factorisation using identities
14.2.4 Factors of the form ( x + a) ( x + b)
14.3 Division of Algebraic Expressions
14.3.1 Division of a monomial by another monomial
14.3.2 Division of a polynomial by a monomial
14.4 Division of Algebraic Expressions Continued
(Polynomial ÷ Polynomial)
14.5 Can you Find the Error?

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WHAT HAVE WE DISCUSSED?
10. Substituting x = – 3 in
1. When we factorise an expression, we write it as a product of factors. These factors may be numbers, algebraic variables or algebraic expressions.
2. An irreducible factor is a factor which cannot be expressed further as a product of factors.
3. A systematic way of factorising an expression is the common factor method. It consists of three steps: (i) Write each term of the expression as a product of irreducible factors (ii) Look for and separate the common factors and (iii) Combine the remaining factors in each term in accordance with the distributive law.
4. Sometimes, all the terms in a given expression do not have a common factor; but the terms can be grouped in such a way that all the terms in each group have a common factor. When we do this, there emerges a common factor across all the groups leading to the required factorisation of the expression. This is the method of regrouping.
5. In factorisation by regrouping, we should remember that any regrouping (i.e., rearrangement) of the terms in the given expression may not lead to factorisation. We must observe the expression and come out with the desired regrouping by trial and error.
6. A number of expressions to be factorised are of the form or can be put into the form : These expressions can be easily factorised using
Identities I, II, III and IV, given in Chapter 9,
7. In expressions which have factors of the type (x + a) (x + b), remember the numerical term gives ab. Its factors, a and b, should be so chosen that their sum, with signs taken care of, is the coefficient of x.
8. We know that in the case of numbers, division is the inverse of multiplication. This idea is applicable also to the division of algebraic expressions.