OK so basically the question asks me to find an explicit ring isomorphism $ \alpha: x^2+x+2 \mapsto x^2+2x+2$
Where both are under the field of five elements ie (0,1,2,3,4). I don't know how to get the F symbol up, sorry.
So how do I find this?
I've got another example question which is to show that there is an isomorphism of fields
Again worded a bit differently but obviously asking the same thing and again over the field of five elements. Can someone guide me on how to do the first one so that I can do it myself on the second question and post here if it is correct? Thanks.