Is it possible to apply a shift (to the variable $x$) and Eisenstein's criterion to show that the polynomial $f(x) = x^3 + x^2 − 2x − 1$ is irreducible over the rationals?
2026-04-12 21:09:36.1776028176
Applying Eisenstein's criterion to $x^3 + x^2 − 2x − 1$?
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You can shift by 9 to get $x^3 +28x^2+259x+791$ which is irreducible by looking at divisibility by 7.