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Syllabus

Factorisation — Syllabus

ICSE · Class 9 · Mathematics

What Factorisation covers in ICSE Class 9 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 9 Mathematics syllabus.

41 questions24 flashcards11 formulas & key relations5 concepts

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A visual representation showing a polynomial being expressed as a product of its factors, illustrating that factorisation is the reverse of multiplication.
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4 Topics · ICSE Class 9 Mathematics · 2026-27

Topics in Factorisation

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.

Key Concepts

Central concept: Factorisation is the reverse of multiplication: writing an expression as a product of factors

Factor and factorisationType 1 common factor methodType 2 grouping methodType 3 trinomial splitting the middle termDiscriminant testType 4 difference of two squaresType 5 sum and difference of cubesRearranging and rewriting expressions

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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.

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All ICSE Class 9 Mathematics Syllabus

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