# Chapter 2: Polynomials

## Contents

## The evaluation map

## Irreducible polynomials

This section gives the definition of an irreducible polynomial and discusses irreducibility for polynomials of degrees 1, 2 and 3.

## Theorems on irreducible polynomials

This section focuses on irreducibility over $\mathbb Q$.

## Cyclotomic polynomials

## Irreducible polynomials and fields

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