👉 In the context of mathematics, a "roomstead" is a special case of an ideal in the ring of polynomials. In other words, it's a polynomial that has only one root in a given field extension. For instance, consider the field extension $\mathbb{Q}(\sqrt[3]{2}, \sqrt[5]{4})$. This can be seen as a roomstead because it contains only one root of $x^3 - 2$ and $x^
