Write a Polynomial F (X) That Meets the Given Conditions $4 i$

question 16

Multiple Choice

Write a polynomial f (x) that meets the given conditions.
-Polynomial of lowest degree with real coefficients and zeros $4 i$ and $2 - i$ .

• A) \(f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 12 x ^ { 2 } + 64 x - 64\)
• B) \(f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 19 x ^ { 2 } - 64 x + 48\)
• C) \(f ( x ) = x ^ { 4 } + 4 x ^ { 3 } - 12 x ^ { 2 } - 64 x + 64\)
• D) \(f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 21 x ^ { 2 } - 64 x + 80\)

---

Definitions:

Ethnomethodologists

Researchers specializing in ethnomethodology, a branch of sociology focused on the ways people make sense of their everyday life through social norms and practices.

Ethnomethodological Analysis

A method of sociological analysis that studies how people use everyday interactions to construct a shared social reality.

Applause

The act of clapping hands together to show appreciation or approval, often used by audiences to commend performers or speakers.

Positive Point

An affirmative or advantageous aspect, characteristic, or feature of something.