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Factorisation

ICSE · Class 9 · Mathematics

Quick revision notes for Factorisation — ICSE Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

44 questions24 flashcards5 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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Key Topics to Revise

1

Introduction to Factorisation

  • Factorisation means expressing a polynomial as a product of two or more expressions
  • Each expression in the product is called a factor of the polynomial
  • Factorisation is the reverse process of multiplication
2

Method 1: Taking Out Common Factors

  • Find the Highest Common Factor (HCF) of all terms
  • Divide each term by the HCF and write the result in brackets
  • Keep the HCF outside the bracket as a common factor
3

Method 2: Factorisation by Grouping

  • Used when expressions have an even number of terms
  • Group terms in pairs so each group has a common factor
  • Factor out common factors from each group
4

Method 3: Middle Term Splitting for Trinomials

  • Used for trinomials of the form ax² + bx + c
  • Split the middle term (bx) into two terms whose sum equals b
  • The product of coefficients of split terms should equal ac

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Full Notes

Key Concepts

Find the Highest Common Factor (HCF)Group terms with common factorsFor trinomials ax² + bx +Uses the identity a²Uses identities

Frequently Asked Questions

What are the important topics in Factorisation for ICSE Class 9 Mathematics?
Factorisation covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Factorisation — ICSE Class 9 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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