I have been given the topic "Numerical solutions of polynomial equations" and there are a number of sub topics that the teacher has advised we consider. One of those is the logistic function.

The biggest problem I am having is understanding how that is related to the initial topic. I'm not even sure it is a polynomial. If it is a polynomial then do I not also have to consider equations that have none integer powers and also negative powers?

I would really appreciate if someone could clear up this misunderstanding and also direct me to a source of information I could go from (other than wikipedia), such as worked examples.

Thanks in advance for any help!