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Polynomials and Factorisation — Syllabus

Telangana Board · Class 9 · Mathematics

What Polynomials and Factorisation covers in Telangana Board Class 9 Mathematics: 4 topics, for the 2026-27 session.

44 questions20 flashcards4 formulas & key relations5 concepts

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4 Topics · Telangana Board Class 9 Mathematics · 2026-27

Topics in Polynomials and Factorisation

1

1. Introduction to Polynomials

  • A polynomial is an algebraic expression with variables having non-negative integer powers only
  • General form: p(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀ where aₙ ≠ 0
  • Examples: 3x² + 2x - 5, x³ - 4x + 1, 7 (constant polynomial)
2

2. Types of Polynomials

  • Classification by degree: Linear (degree 1), Quadratic (degree 2), Cubic (degree 3)
  • Classification by terms: Monomial (1 term), Binomial (2 terms), Trinomial (3 terms)
  • Zero polynomial: all coefficients are zero, degree undefined
3

3. Value of Polynomial and Zeros

  • Value of polynomial p(x) at x = a is p(a) - substitute a for x
  • Zero of polynomial: value of x for which p(x) = 0
  • Linear polynomial has exactly one zero
4

4. Remainder Theorem

  • When polynomial p(x) is divided by (x - a), remainder = p(a)
  • No need for actual division - just substitute x = a
  • Works for any polynomial of degree ≥ 1

Key Concepts

A polynomial is an algebraic expressionBy degreeA zero of polynomial p(x)When polynomial p(x) is divided by(x

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Frequently Asked Questions

What are the important topics in Polynomials and Factorisation for Telangana Board Class 9 Mathematics?
Key topics in Polynomials and Factorisation include Introduction to Polynomials, Types of Polynomials, Value of Polynomial and Zeros, Remainder Theorem. Study these first, then practise questions on each for Class 9 exams.
How should I revise Polynomials and Factorisation for Class 9 exams?
Learn the core ideas first, then work through the 44 practice questions on Polynomials and 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 Telangana Board Class 9 Mathematics Syllabus

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