A Polynomial Function $f$ Has Degree 3 , the Zeros Below, and a Solution

question 21

Multiple Choice

A polynomial function $f$ has degree 3 , the zeros below, and a solution point of $f ( - 3 ) = - 4$ . Write $f$ in completely factored form.
$- 4 , - 3 + 2 i$

• A) \(f ( x ) = ( x + 3 ) ( x + 4 - 2 i ) ( x + 4 + 2 i )\)
• B) \(f ( x ) = - ( x + 4 ) ( x + 2 - 3 i ) ( x + 2 + 3 i )\)
• C) \(f ( x ) = ( x + 4 ) ( x + 2 - 3 i ) ( x + 2 + 3 i )\)
• D) \(f ( x ) = - ( x + 4 ) ( x + 3 - 2 i ) ( x + 3 + 2 i )\)
• E) \(\quad f ( x ) = ( x + 4 ) ( x + 3 - 2 i ) ( x + 3 + 2 i )\)

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