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

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


(a)x3 + 4x2 + 9x + 24
(b)x3 – 4x2 + 9x – 24
(c)x3 + 2x2 + 9x + 18
(d)x3 – 2x2 + 9x – 18

Chirag :

The function is f(x) = (x + 2)(x + 3i)(x - 3i) = x^3 + 2x^2 + 9x + 18

Chirag :

Answer: Option (c)

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