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Polynomials and Factorisation

Telangana Board · Class 9 · Mathematics

Quick revision notes for Polynomials and Factorisation — Telangana Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions20 flashcards5 concepts

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Key Topics to Revise

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)
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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
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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
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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

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Full Notes

Key Concepts

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

Frequently Asked Questions

What are the important topics in Polynomials and Factorisation for Telangana Board Class 9 Mathematics?
Polynomials and Factorisation covers several key topics that are frequently asked in Telangana Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Polynomials and Factorisation — Telangana Board Class 9 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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