CBSE Class 8 Mathematics Worksheet - Factorisation

CBSE Class 8 Factorisation

Introduction

Factorization is the process of expressing a number or an algebraic expression as a product of its factors.

Key Concepts

Factors

A factor of a number is an integer that can be multiplied by another integer to produce the original number.

Types of Factors

1. Prime Factors: Prime numbers that can be multiplied together to produce the original number.

2. Composite Factors: Non-prime numbers that can be multiplied together to produce the original number.

Methods of Factorization

1. Factorization by Grouping

Grouping numbers or terms together to factorize expressions.

2. Factorization by Splitting the Middle Term

Splitting the middle term of a quadratic expression to factorize it.

3. Factorization using Identities

Using algebraic identities to factorize expressions.

Algebraic Identities

1. a^2 - b^2 = (a + b)(a - b)

2. a^2 + 2ab + b^2 = (a + b)^2

3. a^2 - 2ab + b^2 = (a - b)^2

Practice Questions

1. Factorize: 15x^2 + 25x + 5

2. Factorize: x^2 + 7x + 12

Tips and Tricks

1. Use factor trees: To find prime factors of a number.

2. Look for common factors: To factorize expressions.

3. Use algebraic identities: To factorize expressions.

Important Points

1. Factorization is the reverse process of multiplication.

2. Factors can be prime or composite numbers.

3. Algebraic identities can be used to factorize expressions.

Worksheet:

https://t.me/cgscbsesupportbypramodsir/8