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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.

41 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

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.

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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?
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?
Understand the core concepts first, then work through the 41 practice questions available for this chapter. Revise formulas and 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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