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Polynomials

Gujarat Board · Class 9 · Mathematics

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

45 questions25 flashcards5 concepts

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Key Topics to Revise

1

Introduction to Polynomials

  • A polynomial is an algebraic expression with variables having whole number exponents only
  • Polynomials contain terms with variables, coefficients, and constants
  • The general form is: p(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₁x + a₀
2

Classification of Polynomials

  • Polynomials are classified by number of terms and degree
  • By terms: Monomial (1 term), Binomial (2 terms), Trinomial (3 terms)
  • By degree: Linear (degree 1), Quadratic (degree 2), Cubic (degree 3)
3

Zeros of Polynomials

  • Zero of polynomial p(x) is value 'a' such that p(a) = 0
  • Linear polynomials have exactly one zero
  • Zero of polynomial corresponds to x-intercept of its graph
4

Remainder Theorem and Factor Theorem

  • Remainder Theorem: When p(x) is divided by (x-a), remainder is p(a)
  • Factor Theorem: (x-a) is factor of p(x) if and only if p(a) = 0
  • These theorems connect polynomial division with evaluation

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Full Notes

Key Concepts

A polynomial p(x) in one variableEach part of a polynomial likeThe degree of a polynomialPolynomials are classified asLinear polynomial (degree 1)

Frequently Asked Questions

What are the important topics in Polynomials for Gujarat Board Class 9 Mathematics?
Polynomials covers several key topics that are frequently asked in Gujarat 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 — Gujarat 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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