show irreducible.. f(x)=(p-1)x^p-2 + (p-2)x^(p-3) + ... + 3x^2 + 2x + 1 (p > 2 is prime)(adsbygoogle = window.adsbygoogle || []).push({});

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

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Prove irreducible (p-1)x^p-2 + (p-2)x^(p - 2)x^(p-3) + + 3x^2 + 2x + 1 p=prime

**Physics Forums - The Fusion of Science and Community**