Chapter 2 of 15
Revision Notes
Polynomials and Factorisation — Revision Notes
Telangana Board · Class 9 · Mathematics
Polynomials and Factorisation revision notes for Telangana Board Class 9 Mathematics: 4 topics in quick points.
44 questions20 flashcards4 formulas & key relations5 concepts
Interactive on Super Tutor
Studying Polynomials and Factorisation? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.
Free trial, no card needed.
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)
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
Get complete notes with diagrams and examples
Full NotesKey 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?
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.
More resources for Polynomials and Factorisation
For serious students
Get the full Polynomials and Factorisation chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Telangana Board Class 9 Mathematics. Free to start, no card needed.