Find a Polynomial Function with Real Coefficients That the Given $- 5 , - 5,1 + \sqrt { 3 } i$

question 35

Multiple Choice

Find a polynomial function with real coefficients that the given zeros. $- 5 , - 5,1 + \sqrt { 3 } i$

• A)Answers will vary. Sample answer: \(f ( x ) = x ^ { 4 } + 8 x ^ { 3 } + 9 x ^ { 2 } - 10 x + 100\)
• B)Answers will vary. Sample answer: \(f ( x ) = x ^ { 4 } + 8 x ^ { 3 } + 9 x ^ { 2 } - 10 x - 100\)
• C)Answers will vary. Sample answer: \(f ( x ) = x ^ { 4 } - 8 x ^ { 3 } + 9 x ^ { 2 } - 10 x + 100\)
• D)Answers will vary. Sample answer: \(f ( x ) = x ^ { 4 } + 8 x ^ { 3 } - 9 x ^ { 2 } - 10 x + 100\)
• E)Answers will vary. Sample answer: \(f ( x ) = x ^ { 4 } + 8 x ^ { 3 } + 9 x ^ { 2 } + 10 x + 100\)

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Definitions:

Long-Run Phillips

Describes the relationship between unemployment and inflation over a longer period, suggesting that in the long run, there is no trade-off between inflation and unemployment.

Natural Rate

The long-term rate of unemployment or economic output at which the economy stabilizes, without causing inflation.

Monetary Policy

The process by which the central bank or monetary authority of a country controls the supply of money, often targeting interest rates to promote economic growth and stability.

Government Policies

Measures and actions taken by a government to influence or regulate the economy and societal welfare.