Re: Test for Irreducibility of certain polynomials with

*To*: mathgroup at smc.vnet.net*Subject*: [mg85499] Re: Test for Irreducibility of certain polynomials with*From*: dh <dh at metrohm.ch>*Date*: Wed, 13 Feb 2008 04:05:25 -0500 (EST)*References*: <fopa0n$afs$1@smc.vnet.net>

Hi Guillermo, how can you determine if a polynomial is irreducible if the coefficients are unknown? It seems to me that you have to specify d before you can say if it is irreducible. hope this helps, Daniel Guillermo Pineda Villavicencio wrote: > Hi there, > > I want to test the irreducibility of the following polynomials of > degree r with Mathematica. > > H[x_,d_] := Sum[(-d + 1)^(j)*Binomial[r - j, j]*x^(r - 2*j), {j, 0, (r - > 1)/2}] > > I use the Mathematica function > > > IrreducibleQ[p_?PolynomialQ,Modulus->m_]:=Module[{f=FactorList[p,Modulus->m]}, > Total[Last/@DeleteCases[f,{_Integer,_Integer}]]==1 > ] > > But I want Mathematica to consider H[x,d] as a function in x (not in x > and d). Is it possible??? > > Best regards, > Guillermo >