Let z = x+yi ∈ C, where z ̅=x-yi.
a) Show that the map f: C →C, where f(z)=z ̅ is a ring isomorphic
b) Give an example of an irreducible polynomial of degree two in R[X]
a) I’m not completely sure how to do this. b) X^2 +1 is an an irreducible polynomial of degree two in R[X] Because(x+1)(x-1)=x^2+1