Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Irreducible Polynomial (or not?)

  1. Sep 10, 2010 #1
    The polynomial is x^n + A1x^(n-1) + A2x^(n-2) + ... + A2x^2 + A1x + 1. Where An (integer) is not zero for all n and n is even. For example: x²+x+1; x^4+2x^3+3x^2+2x+1.
    I'm looking for a method to say if that kind of polynomial is irreducible over racionals... Or when it is.

    Thx!
     
    Last edited: Sep 10, 2010
  2. jcsd
  3. Sep 10, 2010 #2
    Are A1, A2,... integers? Also, when you say irreducible, you have to specify irreducible over what. No polynomial with integer coefficients is irreducible over the complex numbers, but might be irreducible over, say, the reals or the rational numbers.

    Petek
     
  4. Sep 10, 2010 #3
    Oh really.. Sorry, i just forgot that.
    They're integers (naturals in fact)
    And i mean irreducible over rationals.

    Thx!!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook