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Math Help - unbelievable factorization

  1. #1
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    unbelievable factorization

    Factorize it, do not tell the roots:
    x^3=x+1.
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  2. #2
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    Re: unbelievable factorization

    I'm not clear what the point of that is. There are no rational zeros so any factorization is going to involve some nasty cube roots.
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  3. #3
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    Re: unbelievable factorization

    IVT sez there's a real root between x = 1 and x = 2 ...
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