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Homework Help: Irreducible in Z[x]

  1. May 8, 2009 #1
    1. The problem statement, all variables and given/known data

    show that the polynomial (x-a1)(x-a2).............(x-an)+1 is irreducible in Z[x],where a1,a2,.....an are distinct odd integers

    2. Relevant equations

    3. The attempt at a solutiontrying to use eisenstein criterion...but cant
    Last edited: May 8, 2009
  2. jcsd
  3. May 8, 2009 #2


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    Staff Emeritus
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    Gold Member

    That statement isn't true.
  4. May 8, 2009 #3
    give anr coutrexmple
  5. May 9, 2009 #4
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