Find a Polynomial of Degree 3 with Real Coefficients That $3 , i , - i$

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros of $3 , i , - i$ and $P ( 2 ) = 30$

A) $P ( x ) = - 6 x ^ { 3 } + 18 x ^ { 2 } + 6 x - 18$
B) $P ( x ) = - 6 x ^ { 3 } + 18 x ^ { 2 } - 6 x + 18$
C) $P ( x ) = 6 x ^ { 3 } - 18 x ^ { 2 } + 6 x - 18$
D) $P ( x ) = 6 x ^ { 3 } - 18 x ^ { 2 } - 6 x + 18$

Correct Answer:

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