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Find all the monic irreducible polynomials

  1. Nov 4, 2008 #1
    1. The problem statement, all variables and given/known data

    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].


    2. Relevant equations
    n/a


    3. The attempt at a solution
    n/a
     
    Last edited: Nov 4, 2008
  2. jcsd
  3. Nov 5, 2008 #2

    morphism

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