Chapter 2: Polynomials

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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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Next section Examples of Finite Fields