# Polynomials

This chapter starts with the basic overview of polynomials which are sub-categorised into polynomial expressions, equations, degree of polynomial, addition, and subtraction of polynomials and more. Further, the second section of this chapter focuses on a detailed explanation of “zero,” which includes “what is zero,” “zeros of linear, quadratic and cubic polynomials”. Afterwards, section three includes remainder and factor theorems, which comprises of division of polynomials by linear factor, division of polynomials in general, degree of the reminder, division algorithm and many more with a detailed explanation including examples. And finally, section four encapsulates the explanation for identity, cubing a binomial, squaring a trinomial and “An important Identity.”

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**Polynomials - Class 9 Introduction**

## Polynomial Basics

- Variables, Constants and Expressions
- The Value of an Expression
- Equations
- Polynomial Expressions
- Polynomials in One Variable
- Particular Kinds of Polynomials
- Degree of a Polynomial
- Linear, Quadratic and Cubic Polynomials
- Polynomials of Degree n
- Addition / Subtraction of Polynomials
- Multiplication of Polynomials

## Zeroes of a Polynomial

- What are Zeroes?
- What are Roots?
- Zero of a Linear Polynomial
- Zeroes of a Quadratic Polynomial
- Zeroes of a Cubic Polynomial
- Inferring the Locations of Zeroes Indirectly
- Calculating Zeroes of a Quadratic Polynomial

## Remainder and Factor Theorems

- Division of a Polynomial by a Linear Factor
- Division of Polynomials in General
- Degree of the Remainder
- Division Algorithm - Linear Divisors
- The Remainder Theorem
- Factors of a Polynomial
- Factor Theorem
- Factorization of Quadratic Polynomials

## Polynomial Identities

**Polynomials - Class 10**