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16 August, 00:27

Which of the following is a polynomial with roots 2, 3i, and - 3i?

A. f (x) = x^3 - 2x^2 + 6x - 9

B. f (x) = x^3 - 6x ^2 + 9x - 18

C. f (x) = x^3 - 6x^2 + 18x - 2

D. f (x) = x^3 + 2x^2 + 9x - 18

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  1. 16 August, 02:14
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    Since the roots are 2,3i, and - 3i, you can write it as

    (x-2) (x-3i) (x+3i) = (x-2) (x^2+9) = x^3-2x^2+9x-18.
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