- #1
burritoloco
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Homework Statement
Show the polynomial
[tex]
f(x) = x^p + x^{p-1} + ... + x - 1
[/tex]
is irreducible over [itex]Z_p[/itex] where p is a prime.
Homework Equations
The Attempt at a Solution
I know f(x) has no roots in Zp, but other than that, I'm stuck. Thanks for the help.
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