Here a degree of a polynomial knot is a minimal degree which can define a long knot. I would like to find out how this degree can be bounded below, according to the number of crossing points, for instance, or maybe some other properties. Do you know some articles or literature concerning to this problem? All materials, I found, are about particular examples of polynomial reprsentations of some knots, or just says that this is the interesting problem.
After the first answer given, I need to add some information. I know the bound given in the answer, this is natural. I would like to come up with more precise bounds (both lower and upper ones) and, ideally, to derive a formula which gives a degree according to a given knot. This problem seems to be difficult, that's why, first of all, I try to construct more narrow bounds for a degree and I would like to know what research has been done already. If you know any materials concerning to that, write it, please.