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

question 407

Multiple Choice

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros of $3 , i , - i$ and $P ( 2 ) = 25$

• A) \(P ( x ) = - 5 x ^ { 3 } + 15 x ^ { 2 } - 5 x + 15\)
• B) \(P ( x ) = - 5 x ^ { 3 } + 15 x ^ { 2 } + 5 x - 15\)
• C) \(P ( x ) = 5 x ^ { 3 } - 15 x ^ { 2 } - 5 x + 15\)
• D) \(P ( x ) = 5 x ^ { 3 } - 15 x ^ { 2 } + 5 x - 15\)

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