How to show $x^5-x+3$ is irreducible in $\Bbb Z_5[x]$?
1487
How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?
87101
Irreducible but not prime in $K[X,Y]/(X^2-Y^3)$
81377
Show that $x^n + x + 3$ is irreducible for all $n \geq 2.$
40994
How to check that a cubic polynomial is irreducible?
50785
Galois group of $x^4-5$
41050
Degree of the splitting field of $ x^3-5 $ over $\mathbb{Q}$
2043
$X^n-Y^m$ is irreducible in $\Bbb{C}[X,Y]$ iff $\gcd(n,m)=1$
108385
Irreducible factors of $x^8 - x$ in $Z/2Z[x]$
41693
Use irreducible fibers to show $X$ is irreducible
158182
Let $R = \mathbb{Z} + x\mathbb{Q}[x]$. Find all the irreducibles in $R$.
121479
Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime
18336
$x^p-c$ has no root in a field $F$ if and only if $x^p-c$ is irreducible?
93291
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$
26069
Why is $X^4-16X^2+4$ irreducible in $\mathbb{Q}[X]$?
77209
Reducibility of $x^3+nx+1$ over $ \Bbb Z$
70981
Galois Group of $x^5+1$
51952
Show that $x^{n-1}+\cdots +x+1$ is irreducible over $\mathbb Z$ if and only if $n$ is a prime.