Showing that $x^n+x+3$ is irreducible
81377
Show that $x^n + x + 3$ is irreducible for all $n \geq 2.$
76017
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
67527
Proof by Induction that $3^n ≥ 1+2^n$
90612
Show that $9+9x+3x^3+6x^4+3x^5+x^6$ is irreducible given one of its roots
125297
Induction to prove $2n + 3 < 2^n$
93196
$x^4 -10x^2 +1 $ is irreducible over $\mathbb Q$
19968
Describe all $p^{n}$ (in terms of congruence conditions of $p$ and $n$) for which $x^{2}+1$ irreducible over $\mathbb{F}_{p^{n}}$.
104498
Show that $x^3y^3(x^3+y^3) \leq 2$
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
121479
Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime
93291
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$
109760
Showing that the product of all $n$th Roots of Unity is $(-1)^{n+1}$
148909
Irreducible polynomials of degree 3 and 5
32391
Show that $x^2+x+4$ is irreducible over $\mathbb Z_{11}$.
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements
26069
Why is $X^4-16X^2+4$ irreducible in $\mathbb{Q}[X]$?