What does the degree of a polynomial have to do with the finite extension of a body?
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
56068
What actually is a polynomial?
155642
Understanding divison by monic polynomial in $R[x]$ where $R$ is an arbitrary ring
127304
Understanding the algebra of polynomials on a linear space
16693
Does this set of vectors span the space of all polynomials of degree at most 3?
73344
Definition of irreducible polynomial via the units of an integral domain.
103948
Minimal polynomial is invariant under field extensions
69935
Field extensions of finite degree and primitive elements
93111
Finiteness of the Algebraic Closure
158156
Finding the dual basis for the space of polynomials of degree $\leq$ 2
115541
Subrings of polynomial rings over the complex plane
126402
How to factor a fourth degree polynomial
54875
How to prove polynomials with degree $n$ does not form a vector space?
94382
Calculate the degree of the extension $[\mathbb{Q}(\cos(\frac{2\pi}{p})):\mathbb{Q}]$
121304
Is the set of polynomials of degree less than or equal to $n$ closed?
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
144561
Understanding terms in Length of Degree formula?