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

question 84

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:

Directly Exchanged

A situation where goods or services are exchanged without the use of money as an intermediary.

Production Possibilities Frontier

A curve depicting all possible combinations of two goods that a society can produce within a given time period, given its technological capabilities and available resources.

Fixed Assumptions

Preset conditions or principles that are assumed to remain constant over a defined period for the purpose of analysis or modeling.

Achievable Output Levels

The various amounts of goods and services an economy can produce when utilizing all its resources efficiently.