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college algebra

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use the given zero to find the remaining zeros of each function.g(x)=x^3+3x^2+25x+75;zero:-5i

  • college algebra -

    If -5i is a zero, then so is +5i

    So, we know that g(x) = (x^2+25)(x+a)
    = x^3 + 25x + ax^2 + 25a

    Looks like a=3

    So, the remaining zero is x=-3

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