ROOTS OF POLYNOMIALS
Finding the roots of polynomials, or "solving algebraic
equations", is among the oldest problems in mathematics.
The goal in this project is to describe some of the history, mathematically what is involved and (except for part 4) an outline of the solution for each of the following. (We assume that the coefficients are real numbers throughout.)
For a, See 'Numbers' by Ebbinghaus et al., and for the others, see 'Rings, Fields and Groups' by R. Allenby.
Developed by Graham Norton.
http://www.maths.uq.edu.au