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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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