Is $x^3+nx+1$ irreducible over $\mathbb{Z}$ for infinitely many $n$.
77209
Reducibility of $x^3+nx+1$ over $ \Bbb Z$
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
64878
Is this polynomial irreducible in $\mathbb{Q}$?
114198
Showing that $y$ is irreducible in $\mathbb R[x,y]/(x^2+y^2-1)$.
44878
Factor $x^5+x^2+1$ into irreducible polynomials in $Z[x]$
25290
Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
31215
Irreducible cyclotomic polynomial
1487
How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?
127205
Explain proof of irreducibility of $x^{p-1} + 2x^{p-2}+ \dots +(p-1)x + p$
106914
Existence of Irreducible polynomials over $\mathbb{Z}$ of any given degree
74224
On irreducible factors of $x^{2^n}+x+1$ in $\mathbb Z_2[x]$
100573
Show that $x^4-10x^2+1$ is irreducible over $\mathbb{Q}$
55432
Infinite distinct factorizations into irreducibles for an element