Complete Resource of NCERT Solutions Maths Chapter 12 Factorisation Class 8 - FREE PDF Download
FAQs on NCERT Solutions for Class 8 Maths Chapter 12 Factorisation
1. What is factorisation in NCERT Class 8 Maths Chapter 12?
Factorisation is the process of expressing an algebraic expression as a product of its factors. These factors may be numbers, algebraic variables, or expressions that, when multiplied together, re-create the original expression. In Class 8 Maths Chapter 12, factorisation is essential for simplifying and solving algebraic problems as per the CBSE 2025–26 syllabus.
2. Which methods of factorisation are taught in Class 8 Maths Chapter 12 as per NCERT Solutions?
The main methods of factorisation covered in Class 8 Chapter 12 are:
- Taking out the greatest common factor (GCF)
- Factorisation by grouping terms
- Using algebraic identities (such as (a+b)2 and a2-b2)
- Factorisation of quadratic expressions by splitting the middle term
3. How do you apply the common factor method in factorisation according to NCERT Class 8 guidelines?
To use the common factor method:
- Write each term as a product of its prime (or irreducible) factors
- Identify the common factors among all terms
- Take out the common factor and write the expression as a product
4. How can students avoid common mistakes when using algebraic identities in factorisation?
To avoid mistakes with algebraic identities:
- Memorize standard identities thoroughly (e.g., (a+b)2 = a2 + 2ab + b2)
- Check signs and coefficients carefully in each step
- Confirm the expanded form matches the original expression
- Always write down intermediate steps to catch calculation errors
5. What steps should be followed to factorise a quadratic expression in Class 8 Maths Ch 12?
For factorising a quadratic expression of form ax2+bx+c:
- Find two numbers that multiply to a×c and add to b
- Rewrite the middle term b as the sum of these two numbers
- Group the terms in pairs and factor out the common factor from each
- Express as a product of two binomials
6. Why is mastering factorisation crucial for success in higher algebra topics?
Mastering factorisation builds the foundation for advanced algebra topics such as equations, polynomials, and algebraic fractions. It enables students to simplify expressions, solve equations efficiently, and understand the structure of more complex problems encountered in higher classes and competitive exams.
7. What are the main types of expressions that students learn to factorise in NCERT Class 8 Maths Chapter 12?
Students learn to factorise:
- Monomials and binomials
- Quadratic trinomials
- Expressions using identities (a2-b2, perfect squares, etc.)
- Difficult algebraic expressions through grouping or splitting
8. How is the division of algebraic expressions introduced and tested in Class 8 factorisation exercises?
Division is covered by teaching how to divide one algebraic expression by another (especially monomial by monomial, polynomial by monomial). Students must:
- Express numerator and denominator in factorised form
- Simplify by cancelling common factors where possible
- Obtain the final reduced expression
9. What is the role of factorisation in solving equations in Class 8 Maths?
Factorisation allows students to break down complex expressions into simpler products, which makes solving equations easier. By factorising expressions and equating them to zero, students can find the roots (solutions) systematically. This skill connects directly with the linear equations chapter and is fundamental for CBSE examination questions.
10. What topics or questions have been deleted from the Class 8 Maths Chapter 12 syllabus for 2025–26?
According to the official CBSE curriculum update, topics 12.4 (division of algebraic expressions continuation) and 12.5 (Can you find the error?) have been dropped from Class 8 Maths Chapter 12 for the 2025–26 session.
11. How can students practice and master factorisation as per CBSE recommendations for Class 8?
Students are advised to:
- Go through all solved examples in the NCERT textbook
- Solve every exercise problem without skipping steps
- Review mistakes and revisit tricky identity-based questions
- Use NCERT Solutions for stepwise guidance, as per CBSE pattern
- Attend classes and clarify doubts with teachers
12. What common misconceptions might students have about factorisation in Class 8, and how can they avoid them?
Common misconceptions include:
- Confusing factorisation with expansion (opposite process)
- Missing out non-numeric common factors
- Neglecting negative signs or coefficients
- Incorrect use of identities for non-applicable expressions
13. What is the importance of solving all exercises in NCERT Solutions for Class 8 Maths Chapter 12?
Solving all exercises ensures full exposure to all types of factorisation problems covered in the CBSE syllabus. It prepares students for variations in exam questions, helps in error spotting, and builds speed and accuracy required for board tests and school exams.
14. How does factorisation help in simplifying algebraic fractions?
Factorisation breaks complex algebraic fractions into simpler units by cancelling common factors in numerator and denominator. This process makes further calculations and comparisons much easier in algebraic operations, as taught in Class 8 Chapter 12.
15. Why should students pay attention to CBSE-updated exercises and solutions for Chapter 12 Factorisation?
CBSE updates ensure that students are studying only the topics relevant for current academic years. Referring to the latest exercises and solutions helps avoid unnecessary study of deleted portions and keeps focus on scoring areas strongly aligned with board exam requirements.

















