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Factorisation — Chapter Summary

ICSE · Class 8 · Mathematics

Summary of Factorisation for ICSE Class 8 Mathematics. Key concepts: Each of the numbers, Factorisation means to find and Find the largest monomial that.

62 questions24 flashcards4 formulas & key relations5 concepts

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Overview

Factorisation means finding two or more expressions whose product is equal to the given expression. It is the reverse of expansion and is used to simplify algebraic expressions, solve problems faster, and break a complicated expression into smaller parts. The main methods are taking out a common fac

Key Concepts

Each of the numbers

Each of the numbers, constants, or variables that forms a product is called a factor of that product. For example, 5 and x are factors of 5x.

Factorisation means to find two

Factorisation means to find two or more expressions whose product is equal to the given expression.

Find the largest monomial that divides

Find the largest monomial that divides every term, divide each term by it, and keep that monomial outside the brackets. For example, 5x^2 - 10x = 5x(x

Expressions with an even number

Expressions with an even number of terms can be arranged into groups so that each group has a common factor. After factorising each group, a common br

The identity is x^2

The identity is x^2 - y^2 = (x + y)(x - y). Difference of squares of two terms = Sum of the two terms × their difference.

Learning Objectives

  • Understand the meaning of factor and factorisation
  • Identify and take out the largest common monomial factor from every term
  • Factorise expressions by grouping terms
  • Use the identity x^2 - y^2 = (x + y)(x - y)
  • Split the middle term to factorise trinomials

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.

More resources for Factorisation

All ICSE Class 8 Mathematics Chapter Summary

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