$\frac{2}{3}x^5 + \frac{1}{2}x^4 -2x^2 + \frac{1}{2}$.
I know that I have to use Eisenstein's irreducibility criterion, but how do I apply it with coefficients that are fractions?
2026-04-06 20:08:28.1775506108
Show that the polynomial is irreducible over $\mathbb{Q}$
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Hint: Notice that $$6f(x) = 4x^5 + 3x^4 - 12x^2 + 3$$