Find a Polynomial of Least Degree with Only Real Coefficients $6 + 5 i$

question 53

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- $6 + 5 i$ and $6 - 5 i$

• A) \(f ( x ) = x ^ { 2 } + 61\)
• B) \(f ( x ) = x ^ { 2 } - 12 x + 11\)
• C) \(f ( x ) = x ^ { 2 } + 12 x + 61\)
• D) \(f ( x ) = x ^ { 2 } - 12 x + 61\)

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Definitions:

Music Industry

The sector of the economy focused on the production, distribution, and promotion of music and related services.

Industry Concentration

A measurement of the extent to which a small number of firms dominate the total output, sales, or employment of an industry.

R&D Expenditures

Research and Development Expenditures pertain to the funds allocated by businesses or governments towards the research and development of new products, services, or technologies.

Inverted-U Theory

The idea that, other things equal, R&D expenditures as a percentage of sales rise with industry concentration, reach a peak at a four-firm concentration ratio of about 50 percent, and then fall as the ratio further increases.