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algebra

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find all complex zeros for the following polynomial function please show all your work
f(x) = x^3 - 125

????????

  • algebra -

    we have a difference of cubes

    x^3 - 125 = (x-5)(x^2 + 5x + 25)

    the quadratic has complex roots of
    x = (-5 ± √-75)/2
    = (-5 ± 5√-3)/2

    = (-5 ± 5√3 i )/2

  • algebra -

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