Skip to main content
Super TutorResources
Chapter 5 of 28
Revision Notes

Factorisation — Revision Notes

ICSE · Class 9 · Mathematics

Factorisation revision notes for ICSE Class 9 Mathematics: 4 topics in quick points. Part of the ICSE Class 9 Mathematics syllabus.

41 questions24 flashcards11 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Factorisation? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

Free trial, no card needed.

A visual representation showing a polynomial being expressed as a product of its factors, illustrating that factorisation is the reverse of multiplication.
Super Tutor

One of 6 illustrations for Factorisation in Super Tutor — alongside flashcards, concept maps and practice questions.

Key Topics to Revise

1

Core Ideas and Definitions

  • A factor is one of the expressions whose product gives the original polynomial.
  • Factorisation is the process of writing an expression in the form of terms or brackets multiplied together.
  • Factorisation is the reverse of multiplication.
2

Method 1: Common Factor Method

  • Use this when every term has a common factor.
  • Find the H.C.F. of all terms.
  • Divide each term by the common factor and keep the factor outside the bracket.
3

Method 2: Grouping Method

  • Use this when an expression has an even number of terms.
  • Arrange terms into groups so that each group has a common factor.
  • Factor out the common factor from each group.
4

Method 3: Trinomial Splitting the Middle Term

  • This method is used for expressions of the form ax^2 + bx + c.
  • Split the middle term b into two parts.
  • The two parts must add to b and multiply to a × c.

Get complete notes with diagrams and examples

Full Notes

Key Concepts

When a polynomial is expressed asWhen each term has a commonAn expression with an even numberFor a trinomial of the formA trinomial ax^2+bx+c is factorisable only

Frequently Asked Questions

What are the important topics in Factorisation for ICSE Class 9 Mathematics?
Key topics in Factorisation include Core Ideas and Definitions, Method 1: Common Factor Method, Method 2: Grouping Method, Method 3: Trinomial Splitting the Middle Term. Study these first, then practise questions on each for Class 9 exams.
How should I revise Factorisation for Class 9 exams?
Learn the core ideas first, then work through the 41 practice questions on Factorisation. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Factorisation

All ICSE Class 9 Mathematics Revision Notes

For serious students

Get the full Factorisation chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for ICSE Class 9 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free