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28 December, 05:56

Find all zeros of f (x) = x^4+24x^2-25 by completely factoring the polynomial.

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  1. 28 December, 09:35
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    Answer: x = - 1, 1, 5i, - 5i

    Step-by-step explanation:

    f (x) = x^4+24x^2+25

    f (x) = (x^2-1) (x^2+25)

    x^2-1=0

    x^2=1

    x = - 1, 1

    x^2+25=0

    x^2=-25

    x = - 5i, 5
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