Show that $x^4-2$ is the minimal polynomial for $\sqrt[4]{2}$ over $\mathbb{Q}$
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
103238
Conjugates of ${\sqrt 5 + \sqrt 6 }$ over $\mathbb{Q}$ and irreducibility of $x^4 -22x^2+1$ (for minimal polynomial)
141184
Proof that a degree 4 polynomial has at least two roots
98273
minimal polynomial of powers of a matrix
35247
The characteristic and minimal polynomial of a companion matrix
158588
Determine the Galois group of the polynomial $(x^3-2)(x^3-3)(x^2-2)$ over $\mathbb{Q}(\sqrt {-3})$
71482
Solve $p_4(x) = x^4 −(2m + 4)x^2 + (m−2)^2 $such that $p_4$ is a product of two non-constant integer-coeficient polynomials
112334
Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
40502
The Degree of Zero Polynomial.
112427
Irreducibility of $p(x)=x^4-4x^2+8x+2$ over $\mathbb{Q}(\sqrt{-2})$- Dummit Foote Abstract algebra $9.4.10$
46730
How to show $\mathbb{Q}(\alpha^{4})=\mathbb{Q}(\alpha)$?
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
127056
How to prove that a polynomial of degree $n$ has at most $n$ roots?
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
158156
Finding the dual basis for the space of polynomials of degree $\leq$ 2
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$