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18 November, 12:29

What are all of the real roots of the following polynomial? f (x) = x4 - 24x2 - 25

+5
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  1. 18 November, 13:15
    0
    It factors as ...

    f (x) = (x² - 25) (x² + 1) = (x - 5) (x + 5) (x² + 1)

    A root will make one of the factors equal to zero. The quadratic factor has only complex roots.

    The real roots are x = ±5.
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