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Polynomials

Gujarat Board · Class 10 · Mathematics

Complete topic list for Polynomials in Gujarat Board Class 10 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions20 flashcards5 concepts

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4 Topics · Gujarat Board Class 10 Mathematics

Topics in Polynomials

1

Types of Polynomials

  • A polynomial is an algebraic expression with variables raised to non-negative integer powers
  • The degree of a polynomial is the highest power of the variable
  • Linear polynomial: degree 1 (ax + b, where a ≠ 0)
2

Value and Zeros of Polynomials

  • Value of polynomial p(x) at x = k is denoted as p(k)
  • A real number k is a zero of polynomial p(x) if p(k) = 0
  • To find p(k), substitute x = k in the polynomial expression
3

Geometrical Meaning of Zeros

  • Zeros of polynomial are x-coordinates where graph intersects x-axis
  • Linear polynomial graph is a straight line intersecting x-axis at one point
  • Quadratic polynomial graph is a parabola (U-shaped or inverted U)
4

Relationship Between Zeros and Coefficients

  • For quadratic ax² + bx + c with zeros α and β:
  • Sum of zeros: α + β = -b/a
  • Product of zeros: αβ = c/a

Key Concepts

Polynomials are classified based on theirThe value of polynomial p(x) atA real number k is calledZeros of a polynomial areFor quadratic polynomial ax² + bx

Frequently Asked Questions

What are the important topics in Polynomials for Gujarat Board Class 10 Mathematics?
Polynomials covers several key topics that are frequently asked in Gujarat Board 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 Polynomials — Gujarat Board Class 10 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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