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Homework Help: Irreducible polynomial

  1. Oct 22, 2009 #1
    1. The problem statement, all variables and given/known data

    Is x^8+x^4+1 irreducible over Q ?
  2. jcsd
  3. Oct 22, 2009 #2


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    Science Advisor
    Homework Helper

    Any thoughts on this? What have you tried?
  4. Oct 22, 2009 #3


    Staff: Mentor

    There's a theorem that deals with rational roots of polynomials that would be useful.
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