Find all the monic irreducible polynomials

1 reply · 4K views · last reply Nov 5, 2008

xianghu21

Homework Statement

Find all the monic irreducible polynomials of degree [tex]\leq 3[/tex] in [tex]\mathbb{F}_2[x][/tex], and the same in [tex]\mathbb{F}_3[x][/tex].

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Last edited: Nov 4, 2008

morphism

Science Advisor

Homework Helper

What can you say about the irreducible factors of [itex]x^{p^n} - x \in \mathbb{F}_p[x][/itex]?