Prove that R[x]/(x^2+1) is isomorphic to C
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What do you think? What does a typical element of $\displaystyle \mathbb{R}[x]/(x^2+1)$ look like?
Originally Posted by Bruno J. 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...?
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