Write a Polynomial F (X) That Meets the Given Conditions $- 7 i$

question 139

Multiple Choice

Write a polynomial f (x) that meets the given conditions.
-Degree 3 polynomial with integer coefficients with zeros $- 7 i$ and $\frac { 4 } { 5 }$

• A) \(f ( x ) = 25 x ^ { 3 } - 75 x ^ { 2 } + 296 x - 112\)
• B) \(f ( x ) = 25 x ^ { 3 } - 5 x ^ { 2 } - 264 x + 112\)
• C) \(f ( x ) = 5 x ^ { 3 } - 4 x ^ { 2 } - 245 x + 196\)
• D) \(f ( x ) = 5 x ^ { 3 } - 4 x ^ { 2 } + 245 x - 196\)

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Definitions:

Conform

To align behaviors, attitudes, or beliefs with those of a group, often to fit in or comply with norms.

Break Norms

The act of violating established social rules, standards, or expectations in a particular context.

Free Floating

A state of being unattached or not committed to any particular course of action or thought, often allowing for greater adaptability.

Maypole

A traditional pole, often used in folk festivals, around which dances are performed; symbolically, it can refer to a central communication structure in group dynamics.