New posts in Irreducible Polynomials

Show that $\mathbb{Q}(\sqrt{5}+\sqrt[3]{2})=\mathbb{Q}(\sqrt{5},\sqrt[3]{2})$.

Show that $x^{3}-3$ irreducible over $\mathbb{Q}(\sqrt{-3})$

Proving Irreducibility of $x^4-16x^3+20x^2+12$ in $\mathbb Q[x]$

Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible

Show that $x^4-10x^2+1$ is irreducible over $\mathbb{Q}$

Show that $x^n + x + 3$ is irreducible for all $n \geq 2.$

The degree of $\sqrt{2} + \sqrt[3]{5}$ over $\mathbb Q$

How do I find out if a polynomial is irreducible?

Prove that some bivariate polynomial is irreducible

Reduction modulo p