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Math Help - Polynomial Unique Factorization

  1. #1
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    Polynomial Unique Factorization

    Show that all polynomials of x (with integral coefficients) have unique factorization.

    This is the hint: The analogous Euclid. algorithm works for such polyns., using “degree” as opposed to “norm”. Prove this and then use similar arguments to prove unique factorization.
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    There is an algebraic proof to that fact...

    Suppose that exist two different factorizations to such polynomial... (Tty to continue)
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