test1 | 2. POLYNOMIALS by Pavan | Learn Smarter with Allrounder.ai
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics

Grades

Grade 8 Grade 9 Grade 10 Grade 11 Grade 12

Curriculum

CBSE ICSE IB
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

games
Typing
Memory
Math
English Adventures
Knowledge
2. POLYNOMIALS

Polynomials are algebraic expressions formed by variables and coefficients, with varying degrees and terms. This chapter elaborates on types of polynomials, their zeroes, and the factorization methods including the Remainder and Factor Theorems. The chapter also discusses algebraic identities, their applications in factorization, and provides various exercises to understand the concept better.

Sections

  • 2

    Polynomials

    This section introduces polynomials, their characteristics, and methods for their factorization.

    Learning Practice

  • 2.1

    Introduction

    This section introduces polynomials, their basic definitions, important identities, and fundamental concepts such as the degree of polynomials and their coefficients.

    Learning Practice

  • 2.2

    Polynomials In One Variable

    This section introduces the concept of polynomials in one variable, defining terms, coefficients, degrees, and types of polynomials.

    Learning Practice

  • 2.3

    Zeroes Of A Polynomial

    This section introduces the concept of zeroes of polynomials, helping students understand how to find them and their significance.

    Learning Practice

  • 2.4

    Factorisation Of Polynomials

    This section covers the principles of factorising polynomials, highlighting the Factor Theorem and methods for factorisation.

    Learning Practice

  • 2.5

    Algebraic Identities

    Algebraic identities are fundamental equations that hold true for all values of the variables involved, and they facilitate the simplification and factorization of polynomials.

    Learning Practice

  • 2.6

    Summary

    This section encapsulates the essential concepts learned about polynomials, including definitions, types, and fundamental theorems.

    Learning Practice

References

NCERT Study Material

Class Notes

Memorization

What we have learnt

  • A polynomial p(x) in one va...
  • Polynomials can be classifi...
  • The Factor Theorem states t...

Final Test

Revision Tests