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edited Jan 6, 2017 at 11:55

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

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 $k \leq 800$.

nt.number-theory cv.complex-variables polynomials algebraic-number-theory gm.general-mathematics

asked Jan 6, 2017 at 10:34

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