Factorisation

JCERT · Class 8 · Chapter 7 · Factorisation. Syllabus-aligned topic notes and teaching examples, not a complete textbook answer key.

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Why This Chapter Matters

JCERT · Class 8 · Chapter 7 · Factorisation. Syllabus-aligned topic notes and teaching examples, not a complete textbook answer key.

Before You Begin (Prerequisites)

Revise the relevant ideas from the previous grade.

What You Will Learn (Core Objectives)

Factorisation writes an expression as a product. Look first for common factors, then use grouping or identities. When dividing polynomials, the divisor must be nonzero. Cancel complete factors, not separate terms of a sum.

Chapter Roadmap & Progression

1 Syllabus, textbook and notes alignm...

2 Concept and method

3 Check and common pitfall

Complete Concept Guide (100% Curriculum Coverage)

Syllabus, textbook and notes alignment

JCERT · Regular schools (Non-SOE) · Class 8 · Chapter 7 — Factorisation
Official syllabus pages 111–121. Official syllabus · Prescribed Hindi book (17 chapters).

These topic notes and teaching examples are not a complete answer key to every textbook exercise. English notes use this same JCERT chapter order; a matching English textbook PDF has not been verified.

Official Hindi PDF for this exact chapter

Concept and method

Factorisation writes an expression as a product. Look first for common factors, then use grouping or identities. When dividing polynomials, the divisor must be nonzero. Cancel complete factors, not separate terms of a sum.

Check and common pitfall

The original restrictionx≠3 still applies after cancellation.

Key Formulas, Identities & Theorems

Key relationships

a²−b²=(a−b)(a+b); ab+ac=a(b+c)

Observe formula conditions and units.

Conceptual Solved Examples & Case Studies

Example 1

Factor6x²+9x and simplify(x²−9)/(x−3).

Step-by-Step Solution:

6x²+9x=3x(2x+3); (x²−9)/(x−3)=x+3, x≠3

The original restrictionx≠3 still applies after cancellation.

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