2. Polynomials

Polynomials represent a significant class of algebraic expressions formed by combining variables, constants, and non-negative integer exponents. The chapter elaborates on various types of polynomials, their classifications based on degrees, the concepts of zeros and factors, and the application of algebraic identities in factorization. It emphasizes the importance of the Remainder and Factor Theorems in understanding polynomials in one variable as well as in multiple variables.

Sections

  • 2

    Polynomials

    This section introduces polynomials, exploring their definitions, types, degree, and the concepts of zeroes and factorization.

    Learning Practice

  • 2.1

    Introduction

    This section introduces polynomials, their key characteristics, and significant theorems related to polynomial factorization.

    Learning Practice

  • 2.2

    Polynomials In One Variable

    The section provides an overview of polynomials in one variable, introducing key definitions, types, and properties, including degrees and coefficients.

    Learning Practice

  • 2.3

    Zeroes Of A Polynomial

    This section introduces the concept of zeroes of a polynomial, explaining how to find them and their significance.

    Learning Practice

  • 2.4

    Factorisation Of Polynomials

    This section introduces the concept of factorisation of polynomials and the Factor Theorem, illustrating how to identify polynomial factors based on their roots.

    Learning Practice

  • 2.5

    Algebraic Identities

    Algebraic identities are fundamental equations that hold true for any value of their variables.

    Learning Practice

  • 2.6

    Summary

    This section outlines key concepts related to polynomials, including definitions, terms, and important theorems.

    Learning Practice

References

NCERT Study Material

Class Notes

Memorization

What we have learnt

  • A polynomial in one variabl...
  • Polynomials are classified ...
  • Each polynomial has a degre...

Final Test

Revision Tests

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