Prove Irreducibility of f(x) with Eisenstein's Criterion

[items]

show irreducible.. f(x)=(p-1)x^p-2 + (p-2)x^(p-3) + ... + 3x^2 + 2x + 1 (p > 2 is prime)

hi,
Does anyone have ideal or hint on the poly. show irred.
try to us Eisenstein's Irreducibility Criterion, but dot kow how..

I try it...

diff(f(x)) = (p-1)(p-2)^p-3 + (p-2)(p-3)x^(p-40 + ... + 3*2^1 + 2

do't kow how to use diff(f(x)) and f(x)..

Thanks

 

[Eynstone]

Apply Eisenstein's criterion after substituting x=t+1.