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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

    Hurkyl

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    That statement isn't true.
     
  4. May 8, 2009 #3
    give anr coutrexmple
     
  5. May 9, 2009 #4
    [tex](x-1)(x-3)+1=x^2-4x+4=(x-2)^2[/tex]
     
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