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Factorisation of Polynomials

ICSE · Class 10 · Mathematics

Step-by-step guide to study Factorisation of Polynomials in ICSE Class 10 Mathematics. Topics to cover, practice strategy, and time allocation.

35 questions26 flashcards5 concepts

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A labeled diagram illustrating the general form of a polynomial, distinguishing between real and complex polynomials by highlighting the nature of coefficients and variables. Also includes the definit
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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas, and key concepts.

2
Day 3

Practice Problems

Solve textbook exercises and additional practice questions. There are 35 questions available for this chapter.

3
Day 4

Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding. Mark weak areas for re-revision.

4
Day 7

Spaced Revision

Revisit Factorisation of Polynomials after a week. Use flashcards for quick recall. Solve previous year questions from this chapter.

What to Focus On

  • A polynomial has terms, coefficients, and a degree.
  • One-term, two-term, and three-term polynomials are monomial, binomial, and trinomial.
  • Degree one, two, three, and zero polynomials are linear, quadratic, cubic, and constant polynomials.

  • Division by a non-zero polynomial gives a quotient and remainder.
  • The quotient and remainder are unique.
  • The remainder must have degree less than the divisor.

  • A factor is a polynomial that divides another polynomial exactly.
  • If a polynomial can be written as a product of polynomials, each part is a factor.
  • Zero remainder means exact division.

Common Mistakes to Avoid

If a polynomial is divided by (x-a), the remainder is found by substituting -a instead of a.

Any time the remainder is zero, the divisor must be a factor without checking the exact divisor form.

The quotient and remainder are the same thing in polynomial division.

Memory Tips

Classification by number of terms

Classification by degree

Linear polynomial examples

Quadratic polynomial examples

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Frequently Asked Questions

What are the important topics in Factorisation of Polynomials for ICSE Class 10 Mathematics?
Factorisation of Polynomials covers several key topics that are frequently asked in ICSE Class 10 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 of Polynomials — ICSE Class 10 Mathematics?
Understand the core concepts first, then work through the 35 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.

More resources for Factorisation of Polynomials

All 22 chapters — ICSE Class 10 Mathematics Study Plan

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