FAQs on Factorisation

Question 1

1. What is factorisation in mathematics?

Accepted Answer

Ans. Factorisation in mathematics is the process of breaking down a number or an algebraic expression into its factors, which are the numbers or expressions that multiply together to give the original number or expression.

Question 2

2. Why is factorisation important in mathematics?

Accepted Answer

Ans. Factorisation is important in mathematics because it helps us simplify and understand complex numbers or expressions. It allows us to find common factors, identify prime numbers, solve equations, and simplify algebraic expressions.

Question 3

3. How can factorisation be used to solve equations?

Accepted Answer

Ans. Factorisation can be used to solve equations by breaking down the equation into factors and setting each factor equal to zero. By solving each factor individually, we can find the values of the variable that satisfy the equation.

Question 4

4. What are the methods used for factorisation?

Accepted Answer

Ans. There are several methods used for factorisation, including:- Common factor method: This involves identifying common factors of a number or expression and factoring them out.- Difference of squares method: This method is used when we have a binomial expression in the form of a^2 - b^2, which can be factored as (a + b)(a - b).- Quadratic trinomial method: This method is used to factor quadratic trinomials of the form ax^2 + bx + c, where a, b, and c are constants.- Grouping method: This method involves grouping terms in an expression and factoring out common factors.

Question 5

5. Can factorisation be applied to algebraic expressions?

Accepted Answer

Ans. Yes, factorisation can be applied to algebraic expressions. By factoring algebraic expressions, we can simplify them, find common factors, solve equations, and perform various mathematical operations more easily. Factorisation is a fundamental concept in algebra.

Factorisation Video Lecture - (Maths) Class 9

Mathematics (Maths) Class 9

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