Find a Polynomial $f ( x )$ Of Degree $3$ That Has the Indicated Zeros and Satisfies the Given Condition

question 21

Multiple Choice

Find a polynomial $f ( x )$ of degree $3$ that has the indicated zeros and satisfies the given condition. $2,2 i , - 2 i ; f ( 1 ) = - 15$

• A) \(f ( x ) = 48 x ^ { 3 } - 9 x ^ { 2 } + 12 x - 24\)
• B) \(f ( x ) = 2 x ^ { 3 } - 2 x ^ { 2 } + 2 x - 30\)
• C) \(f ( x ) = 2 x ^ { 3 } + 2 x ^ { 2 } + 2 x - 30\)
• D) \(f ( x ) = 3 x ^ { 3 } - 6 x ^ { 2 } + 12 x - 12\)
• E) \(f ( x ) = 3 x ^ { 3 } - 6 x ^ { 2 } + 12 x - 24\)

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