Curve to Equation to Polynomial and back
Let us say we create a conic c by the 5 point construction built into GeoGebra. We then want to get the polynomial p such that c is defined by p = 0. How to do this?
The purpose might be to do some Gröbner basis computation involving p. Suppose the result of this computation is a polynomial q. How does one plot the curve d determined by the equation q = 0?
Can these things be done in a way that updates d automatically when the control points for c are dragged around?