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write a polynomial function in standard form with the given zeros. 1-2i,2

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  1. complex numbers, like radicals, always come in their conjugate form
    so if -2i is a zero so is +2i

    so f(x) = (x-1)(x-2)(x - 2i)(x + 2i)

    the last two factors multiply for x^4 + 4

    f(x) = (x-1)(x-2)(x^4 + 4)

    expand if needed, I like it the way it is.

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  2. no comma there actually
    zero when
    x = 1-2i
    x = 1+2i
    x = 2
    so I get
    (x-2)(x-1+2i)(x-1-2i)
    (x-2) (x^2-2x+5)

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  3. Just have to get stronger glasses.

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