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Factorisation — Revision Notes

ICSE · Class 8 · Mathematics

Factorisation revision notes for ICSE Class 8 Mathematics: 4 topics in quick points. Part of the ICSE Class 8 Mathematics syllabus.

62 questions24 flashcards4 formulas & key relations5 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?
Key topics in Factorisation include Basic Ideas and Common Factors, Factorisation by Grouping, Difference of Two Squares, Factorising Trinomials. Study these first, then practise questions on each for Class 8 exams.
How should I revise Factorisation for Class 8 exams?
Learn the core ideas first, then work through the 62 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 8 Mathematics Revision Notes

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