Write a Polynomial Function of Minimum Degree with Real Coefficients $5 i$

question 45

Multiple Choice

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the
polynomial in standard form.
- $5 i$ and $\sqrt { 2 }$

• A) \(f ( x ) = x ^ { 4 } - 23 x ^ { 2 } - 50\)
• B) \(f ( x ) = x ^ { 4 } + 23 x ^ { 2 } - 50\)
• C) \(f ( x ) = x ^ { 4 } - 46 x ^ { 2 } + 50\)
• D) \(f ( x ) = x ^ { 4 } + 46 x ^ { 2 } + 50\)

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Definitions:

Columbian Exchange

The widespread transfer of plants, animals, culture, human populations, technology, diseases, and ideas between the Americas and the Old World following Columbus's voyages.

Negative Consequences

Unfavorable, harmful, or detrimental outcomes resulting from an action or decision.

Slave Trade

The historical trade of enslaved people, primarily from Africa to the Americas, conducted from the 16th to the 19th centuries, which had profound economic, social, and demographic impacts.

Treaty of Tordesillas

An agreement between Portugal and Spain, concluded in 1494, that divided the newly discovered lands outside Europe between them along a meridian 370 leagues west of the Cape Verde islands.