Prove $g(x)$ is irreducible over $F$.
46891
Irreducibility of reciprocal polynomials
46629
Prove if $f(x) = g(x)$ for each rational number x and $f$ and $g$ are continuous, then $f = g$
11202
If $g \circ f$ is injective, so is $g$
100573
Show that $x^4-10x^2+1$ is irreducible over $\mathbb{Q}$
94571
How can we prove that $N_G(H)=H$ implies $N_{f(G)}(f(H))=f(H)$
25471
Irreducibility of $x^n-x-1$ over $\mathbb Q$
39351
$f(X)$ is uncountable and hence $X$ is uncountable.
121658
$x^2+y^2-1$ irreducible in $\mathbb{Q}[x,y]$?
104757
If $f \circ g$ is surjective, then f is surjective
72251
$g\circ f$ is Surjective and $g$ is Injective then Prove that $f$ is surjective
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
114198
Showing that $y$ is irreducible in $\mathbb R[x,y]/(x^2+y^2-1)$.
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
146572
Prove that between any two roots of $f$ there exists at least one root of $g$
76694
Proving that $UT=TU$ iff $U=g(T)$ for some polynomial $g$
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
120673
Irreducible fibers of a closed subset implies irreducibility