roots of minimal polynomial in a simple field extension.
Let be a field and let be a simple field extension of . Let be the minimal polynomial of over .
My question is how many roots does have in ?
Clearly, by definition we have that . So we at least have one roots (namely ) but i've got a feeling this is actually the only roots. Is that correct?
Thanks for any help!
Re: roots of minimal polynomial in a simple field extension.
You mean "this is not actually the only root", right?
Originally Posted by Ant