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

question 95

Multiple Choice

A polynomial function $f$ has degree 3 , the zeros below, and a solution point of $f ( 1 ) = - 96$ . Write $f$ in completely factored form.
$- 2 , - 3 + 4 i$

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

---

Definitions:

Mutagenic Agent

A chemical, physical, or biological factor that can induce genetic mutations, potentially leading to cancers and various genetic disorders.

Plant Domestication

The process by which wild plants have been evolved into crop plants through selective breeding by humans.

Natufians

A prehistoric culture located in the Levant, significant for their early adoption of sedentary communities and agriculture.

Root Crop

Edible plants that grow underground such as potatoes, carrots, and beets, often rich in carbohydrates and nutrients.