<div id="comment:0"></div> It is not the first time `is_polynomial()` behaves wrong, see #11352. Here's the bug: ``` sage: var('x,y') (x, y) sage: (y/x).is_polynomial(x) True ``` Component: **symbolics** Keywords: **polynomial symbolic** Author: **Ralf Stephan** Branch/Commit: **[`7777342`](https://github.com/sagemath/sagetrac-mirror/commit/777734283b1387c1f7446e959edb306d4d2f7d93)** Reviewer: **Jeroen Demeyer** _Issue created by migration from https://trac.sagemath.org/ticket/15304_