Irreducible Polynomial $g = X^4 + X + 1$ in $\mathbb{F}_2$
131893
How to find the roots of $ x^4 + x + 1$ in the extension of $\Bbb F_2$?
64878
Is this polynomial irreducible in $\mathbb{Q}$?
70537
Irreducible polynomials have distinct roots?
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
106914
Existence of Irreducible polynomials over $\mathbb{Z}$ of any given degree
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
119878
"Standard" ways of telling if an irreducible quartic polynomial has Galois group C_4?
139190
What are the coefficients of the polynomial inductively defined as $f_1=(x-2)^2\,\,\,;\,\,\,f_{n+1}=(f_n-2)^2$?
118950
Irreducibility criteria for polynomials with several variables.
93196
$x^4 -10x^2 +1 $ is irreducible over $\mathbb Q$
154373
How many irreducible monic quadratic polynomials are there in $\mathbb{F}_p[X]$?
44878
Factor $x^5+x^2+1$ into irreducible polynomials in $Z[x]$
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
86957
Galois group of irreducible cubic equation
132665
Show $p(X)$ (over a field) is irreducible iff $p(X+a)$ is irreducible