1. ## Isomorphism of fields

hi! I have problems with demostration

Show that there is an isomorphism of fields:

$\mathbb{R} \left [ x \right ] / (x^2+1) \cong \mathbb{R} \left [ x \right ] / (x^2+x+1)$

Hint: Both are isomorphic to $\mathbb{C}$

I do not know how to use the hint

Thanks

2. ## Re: Isomorphism of fields

Find an isomorphism between $\mathbb{R}[x]/(x^2+1)$ And $\mathbb{C}$. Do the same for the second field. Then compose the two isomorphisms to generate an isomorphism between the two.

Thanks