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edited Jan 7, 2017 at 0:54

Is $x^{2k+1} - 7x^2 + 1$ irreducible?

Question. Is the polynomial $x^{2k+1} - 7x^2 + 1$ irreducible over $\mathbb{Q}$ for every positive integer $k$?

It is irreducible for all positive integers $k \leq 800$.

asked Jan 6, 2017 at 10:34