Minimal polynomial of $x$ over $K(f(x))$
118348
Let $x$ be transcendental over $F$. Let $y=f(x)/g(x)$ be a rational function. Prove $[F(x):F(y)]=\max(\deg f,\deg g)$
129834
Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.
79359
Show that $f$ is a polynomial if it's the uniform limit of polynomais
42652
Must $k$-subalgebra of $k[x]$ be finitely generated?
447
Minimal polynomial for T is a product of distinct linear factors
48260
If $R=K[X]/(X^n)$, can represent any element as polynomial with degree $<n$
103948
Minimal polynomial is invariant under field extensions
6722
to show $f$ is a polynomial in $z$
79328
Proposition 5.15 from Atiyah and Macdonald: Integral Closure and Minimal Polynomial
14836
A polynomial sequence
65661
Decomposition of a homogeneous polynomial
35959
irreducibility of a polynomial over $\mathbb{F}_2$
125785
Minimal polynomial of restriction to invariant subspace divides minimal polynomial
14111
Determining possible minimal polynomials for a rank one linear operator
107133
Let f(x) be a polynomial satisfying $\lim_{x \to\infty} \frac{x^4f(x)}{x^8+1}=3,$ $f(2)=5 $ and $f(3)=10$, $f(-1)=2$ and $f(-6)=37$
111248
The Uniqueness of a Coset of $R[x]/\langle f\rangle$ where $f$ is a Polynomial of Degree $d$ in $R[x]$
154487
Maximal number of monomials of multivariate polynomial