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Mind Map: Factorisation | Mathematics (Maths) Class 8

The document Mind Map: Factorisation | Mathematics (Maths) Class 8 is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Mind Map: Factorisation - Mathematics (Maths) Class 8

1. What is factorisation and why is it important in mathematics?
Ans.Factorisation is the process of breaking down an expression into a product of its factors. It is important in mathematics because it simplifies expressions, makes solving equations easier, and is essential for algebraic manipulations.
2. How do you factor a quadratic expression?
Ans.To factor a quadratic expression of the form ax^2 + bx + c, you need to find two numbers that multiply to ac and add to b. Once identified, you can rewrite the expression as a product of two binomials.
3. What are the different methods of factorisation?
Ans.There are several methods of factorisation, including: 1. Common factor method 2. Splitting the middle term 3. Using the quadratic formula 4. Factoring by grouping 5. Difference of squares
4. Can you provide an example of factorisation using the difference of squares?
Ans.An example of factorisation using the difference of squares is the expression x^2 - 9. This can be factored as (x - 3)(x + 3), because it fits the form a^2 - b^2 = (a - b)(a + b).
5. How does factorisation help in solving equations?
Ans.Factorisation helps in solving equations by allowing you to set each factor equal to zero. For example, if you have the equation (x - 4)(x + 2) = 0, you can solve for x by setting x - 4 = 0 and x + 2 = 0, yielding solutions x = 4 and x = -2.
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