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# If $p$ is a prime, prove that $x^{p-1}-x^{p-2}+x^{p-3}-cdots-x+1$ is irreducible over $Q$....

## Question

###### If $p$ is a prime, prove that $x^{p-1}-x^{p-2}+x^{p-3}-cdots-x+1$ is irreducible over $Q$.

If $p$ is a prime, prove that $x^{p-1}-x^{p-2}+x^{p-3}-cdots-x+1$ is irreducible over $Q$. #### Similar Solved Questions

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