polynomials - Show that $x^5-x^2+1$ is irreducible in $mathbb{Q}[x]$.

Monday, 30 January 2017

polynomials - Show that $x^5-x^2+1$ is irreducible in $mathbb{Q}[x]$.

Show that $x^5-x^2+1$ is irreducible in $\mathbb{Q}[x]$.

I tried use the Eisenstein Criterion (with a change variable) but I have not succeeded.

Thanks for your help.

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