The degree and minimal polynomial over $\mathbb{Q}$ of $j\sqrt{2}$
125096
Minimal polynomial of $\alpha=\sqrt 2e^\frac{2\pi i}{3}$
130944
Greatest common divisor of polynomials over $\mathbb{Q}$
8164
Product of all monic irreducibles with degree dividing $n$ in $\mathbb{F}_{q}$?
94406
Degree of minimum polynomial at most $n$ without Cayley-Hamilton?
1060
Minimal polynomial of intermediate extensions under Galois extensions.
38489
Degree of the extension $\mathbb{Q}(\sqrt{a+\sqrt{b}})$ over $\mathbb{Q}$
101313
Minimal polynomial, determinants and invertibility
128043
$A^n=0$ for $A$ nilpotent without the use of minimal polynomial
158588
Determine the Galois group of the polynomial $(x^3-2)(x^3-3)(x^2-2)$ over $\mathbb{Q}(\sqrt {-3})$
64878
Is this polynomial irreducible in $\mathbb{Q}$?
41050
Degree of the splitting field of $ x^3-5 $ over $\mathbb{Q}$
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
35959
irreducibility of a polynomial over $\mathbb{F}_2$
40502
The Degree of Zero Polynomial.
24168
A characterisation of quadratic extensions contained in cyclic extensions of degree 4
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8
82295
Showing that the minimal polynomial of an $n \times n$ matrix has degree at most $n$ without using the Cayley-Hamilton Theorem