How to show that $x^6-72$ is irreducible over the rationals?
119152
Proving irreducibility of $x^6-72$
93291
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$
53139
How to demonstrate that there is no all-prime generating polynomial with rational cofficents?
102432
Irreducible polynomial of degree $8$
148310
Showing rational numbers are algebraic
26069
Why is $X^4-16X^2+4$ irreducible in $\mathbb{Q}[X]$?
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
121658
$x^2+y^2-1$ irreducible in $\mathbb{Q}[x,y]$?
87101
Irreducible but not prime in $K[X,Y]/(X^2-Y^3)$
100892
Proving divisibility of $a^3 - a$ by $6$
90144
Show that if $a+bi$ is irreducible over $\mathbb{Z} [i]$ then $a^2 + b^2$ is prime over $\mathbb{Z} $
93196
$x^4 -10x^2 +1 $ is irreducible over $\mathbb Q$
156671
Necessary and sufficient condition for $x^n - y^m$ to be irreducible in $\Bbb C[x,y]$
35959
irreducibility of a polynomial over $\mathbb{F}_2$
62100
Show that $n^3-n$ is divisible by $6$ using induction
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$
1487
How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?