# Isomorphic in C

#### apple2010

Prove that R[x]/(x^2+1) is isomorphic to C

#### Bruno J.

MHF Hall of Honor
What do you think?

What does a typical element of $$\displaystyle \mathbb{R}[x]/(x^2+1)$$ look like?

#### Swlabr

What do you think?

What does a typical element of $$\displaystyle \mathbb{R}[x]/(x^2+1)$$ look like?
As a minor aside, but also a minor hint, what are the roots of the polynomial you are quotienting out...?