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Revision Notes

Polynomials

CBSE · Class 10 · Mathematics

Quick revision notes for Polynomials — CBSE Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

56 questions20 flashcards5 concepts

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A labeled diagram illustrating the general form of a polynomial, distinguishing between real and complex polynomials by highlighting the nature of coefficients and variables. Also includes the definit
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Key Topics to Revise

1

Types of Polynomials Based on Degree

  • Degree of a polynomial is the highest power of the variable in the polynomial
  • Linear polynomial: Degree 1 (Example: 2x - 3, √3x + 5)
  • Quadratic polynomial: Degree 2 (Example: 2x² - 3x + 5, y² - 2)
2

Value of a Polynomial and Zeros

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

Geometric Representation and Graphs

  • Graph of linear polynomial y = ax + b is a straight line
  • Linear polynomial has exactly one zero (x-intercept)
  • Graph of quadratic polynomial y = ax² + bx + c is a parabola
4

Relationship Between Zeros and Coefficients

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

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Full Notes

Key Concepts

Polynomials are classified by degreeA zero of polynomial p(x)Zeros are xFor quadratic ax² + bx +A polynomial of degree n can

Frequently Asked Questions

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