When a field extension $E\subset F$ has degree $n$, can I find the degree of the extension $E(x)\subset F(x)?$
31142
Why does $K \leadsto K(X)$ preserve the degree of field extensions?
145021
How to compute degree of morphism given by a canonical divisor?
24168
A characterisation of quadratic extensions contained in cyclic extensions of degree 4
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
83291
Prove that $p(x)=(x-a)q(x)$ for some $q(x)\in R[x]$ of degree= (degree of $p)-1$.
81441
Degree of splitting field divides n!
155771
Product of degree of two field extensions of prime degree
4192
Non-algebraically closed field in which every polynomial of degree $<n$ has a root
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements
101869
Field Extension Notation
120943
Galois field extension and number of intermediate fields
155444
Show that entire function $f$ is a polynomial of degree at most $n$
106737
A problem on field extension
96620
Condition on degrees for existence of a tree
56551
Multiplicative group of field extension over base field
48093
Irreducible polynomial in field extension
135611
Extensions of $\mathbb{Z}$ by $\mathbb{Z}$