ABSTRACT
The remaining two chapters are concerned with solutions of polynomial equations p(x) = 0 over a general field F and their properties. It will be shown that any such equation can be solved in a suitable extension of F, by which is meant a field K containing F as a subfield. Thus p(x) = 0 always has one root in the quotient-field F[x]/(p) of the polynomial ring F[x] by the principal ideal of multiples of p.
