Irreducibility of $f_p(x^{p^{c-1}})$ when given $f_n(x)=x^{n-1} +x^{n-2}+.....+x+1$ where $n$ is positive integer.
119657
If $ f _p(x)=1+x+x^2+ \cdots +x^{p-1} $ where $p$ is prime number, $e$ is any positive integer.
88656
For $p$ prime, show that $\Phi_{p^n}(x) = 1 + x^{p^{n-1}} + x^{2p^{n-2}} + \dots +x^{(p-1)^{p^n-1}}$
73997
$x^{p-1} + ... + x^2 + x + 1$ is irreducible using Eisenstein's criterion?
60816
Irreducibility of special cyclotomic polynomial.
46292
Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$
11962
Irreducibility check for polynomials not satisfying Eisenstein Criterion.
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
109778
Proving $(x-c)|(p(x)-p(c))$
64878
Is this polynomial irreducible in $\mathbb{Q}$?
121658
$x^2+y^2-1$ irreducible in $\mathbb{Q}[x,y]$?
80502
$p(x)$ divided by $x-c$ has remainder $p(c)$? [Polynomial Remainder Theorem]
31215
Irreducible cyclotomic polynomial
134726
Show the polynomial is irreducible in $\textbf Z_2$
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
132665
Show $p(X)$ (over a field) is irreducible iff $p(X+a)$ is irreducible
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
153062
Question about irreducible Gaussian integers