$f (x) ∈ Q [x]$ is irreducible if $f (x - 1)$ is irreducible.
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
114198
Showing that $y$ is irreducible in $\mathbb R[x,y]/(x^2+y^2-1)$.
64878
Is this polynomial irreducible in $\mathbb{Q}$?
132572
Why this polynomial is irreducible?
97104
Proof that continuous function on $ [0, 2]$ has $f(x) = f(x-1)$ for some $ x$
47856
$f(x)=ax+b$ for some $a,b\in\mathbb{Q}$ if $f(\mathbb{Q})\subset\mathbb{Q}$ and $f(\mathbb{R-Q})\subseteq \mathbb{R}-\mathbb{Q}$
88278
Show $S = f^{-1}(f(S))$ for all subsets $S$ iff $f$ is injective
102871
$\langle r\rangle$ maximal $\iff r$ irreducible
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
80188
There are infinitely many irreducible polynomials in $\Bbb{F}_p[X]$
13575
Need help for proving that: $f(f^{-1}(A)) ⊆ A$
76017
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
26069
Why is $X^4-16X^2+4$ irreducible in $\mathbb{Q}[X]$?
142093
The closure of an irreducible subset of an irreducible space is irreducible.
83291
Prove that $p(x)=(x-a)q(x)$ for some $q(x)\in R[x]$ of degree= (degree of $p)-1$.
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
156671
Necessary and sufficient condition for $x^n - y^m$ to be irreducible in $\Bbb C[x,y]$