Irreducible factors of characteristic polynomial and minimal polynomial are same?
52528
Showing that minimal polynomial has the same irreducible factors as characteristic polynomial
55858
Irreducible polynomial is always separable in char 0 field
26999
How is the degree of the minimal polynomial related to the degree of a field extension?
134442
Can a matrix in $\mathbb{R}$ have a minimal polynomial that has coefficients in $\mathbb{C}$?
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
74224
On irreducible factors of $x^{2^n}+x+1$ in $\mathbb Z_2[x]$
84355
Methods to see if a polynomial is irreducible
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
38190
Discriminant of a monic irreducible integer polynomial vs. discriminant of its splitting field
105395
Minimal polynomial of $1 + 2^{1/3} + 4^{1/3}$
149364
Characteristic polynomial of an inverse
31029
Characteristic polynomial of a matrix of $1$'s
101313
Minimal polynomial, determinants and invertibility
82295
Showing that the minimal polynomial of an $n \times n$ matrix has degree at most $n$ without using the Cayley-Hamilton Theorem
16592
Irreducible polynomial which is reducible modulo every prime
21578
Showing the minimal polynomial for an element in an extension field is the same as the minimal polynomial of a linear transformation.
89473
Uniqueness of minimal polynomial: $f(x)$ divides $g(x)$