SOLUTION: Use the given zero to find the remaining zeros of the function. f(x)=x^3-9x^2+36x-324; zero 6i

Question 645754: Use the given zero to find the remaining zeros of the function. f(x)=x^3-9x^2+36x-324; zero 6i
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Use the given zero to find the remaining zeros of the function. f(x)=x^3-9x^2+36x-324; zero 6i
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Since the coefficients are all REAL Numbers, -6i is also a zero.
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(x-6i)(x+6i) = x^2+36 must be a factor of f(x).
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3rd factor is (x-9)
3rd zero is x = 9
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Cheers,
Stan H.
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