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Math Help - Maths question on polynomials:

  1. #1
    Junior Member
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    Sep 2009
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    Maths question on polynomials:

    If α and β are two of the roots of x^3 - x + 1 = 0, show that αβ is a root of x^3 + x^2 - 1 = 0.


    [Hint: Let x^3 - x + 1 = (x-α)(x-β)(x-γ)]
    [Hint #2: Show that: (αβ)^3 + (αβ)^2 - 1 = 0]

    How do I solve this?
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  2. #2
    MHF Contributor
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    Talking

    How far have you gotten in applying the hints they gave you?

    Please be complete. Thank you!
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