2 problems

Let $K$ be a field, and let $f\in K[x]$ be a non-constant monic univariate polynomial of degree $n$. For $1\leq i\leq n-1$, write $H_i(f)$ for its $i$-th Hasse derivative, and call…

Casas–Alvero ideal reformulation. The conjecture is equivalent to $V=\{0\}$, or, equivalently,