Find a Polynomial of Degree $4$ , with Integer Coefficients That Has Zeros Of

question 51

Multiple Choice

Find a polynomial of degree $4$ , with integer coefficients that has zeros of $3 i$ And $2$ , with $2$ A double zero

• A) \(x ^ { 4 } + 4 x ^ { 3 } - 5 x ^ { 2 } - 36 x - 36\)
• B) \(x ^ { 4 } + 13 x ^ { 2 } - 4 x ^ { 3 } - 36 x + 36\)
• C) \(x ^ { 4 } + 13 x ^ { 2 } + 4 x ^ { 3 } + 36 x + 36\)
• D) \(4 x ^ { 4 } + x ^ { 3 } - 5 x ^ { 2 } - 36 x - 36\)
• E) \(x ^ { 4 } + 4 x ^ { 3 } + 5 x - 36\)

---

Definitions:

Jacques-Louis David

An influential French painter in the Neoclassical style, known for his historical and politically charged works, including "The Death of Marat."

French Revolution

A period of radical social and political upheaval in France (1789-1799) that profoundly affected French and modern history, leading to the decline of monarchies and churches.

Neoclassicism

An artistic and decorative style derived from classical antiquity's art and culture, particularly popular in the 18th and early 19th centuries.

Napoleon

A French military and political leader who rose to prominence during the French Revolution and its associated wars, eventually becoming Emperor of the French.