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Factorisation

ICSE · Class 8 · Mathematics

Quick revision notes for Factorisation — ICSE Class 8 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

62 questions24 flashcards5 concepts

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Key Topics to Revise

1

1. Basic Ideas and Common Factors

  • A factor is each number or expression that forms a product.
  • Factorisation means rewriting an expression as a product of simpler expressions.
  • The largest monomial dividing each term should be taken out first.
2

2. Factorisation by Grouping

  • Grouping is used when an expression has an even number of terms.
  • Terms are arranged into groups so that each group has a common factor.
  • After factorising each group, the common binomial or expression is taken out.
3

3. Difference of Two Squares

  • A difference of two squares has the form x^2 - y^2.
  • Its factors are (x + y)(x - y).
  • The rule can be remembered as the sum of the two terms multiplied by their difference.
4

4. Factorising Trinomials

  • A trinomial has three terms.
  • To factorise a trinomial, split the middle term into two terms.
  • The two new terms must have a sum equal to the middle term and a product equal to the product of the first and last terms.

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Full Notes

Key Concepts

Each of the numbersFactorisation means to find twoFind the largest monomial that dividesExpressions with an even numberThe identity is x^2

Frequently Asked Questions

What are the important topics in Factorisation for ICSE Class 8 Mathematics?
Factorisation covers several key topics that are frequently asked in ICSE Class 8 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 8 Mathematics?
Understand the core concepts first, then work through the 62 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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