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Math Help - Isomorphic in C

  1. #1
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    Isomorphic in C

    Prove that R[x]/(x^2+1) is isomorphic to C
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  2. #2
    MHF Contributor Bruno J.'s Avatar
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    What do you think?

    What does a typical element of \mathbb{R}[x]/(x^2+1) look like?
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  3. #3
    MHF Contributor Swlabr's Avatar
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    Quote Originally Posted by Bruno J. View Post
    What do you think?

    What does a typical element of \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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