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:

Invalid Tender

An offer to pay that does not meet the legal requirements.

Exact Amount

A specific, precise sum of money or measurement of quantity, with no deviation allowed.

Legal Tender

Currency that is officially recognized by a governmental authority as acceptable payment for debts.

Legal Tender

Currency that must be accepted if offered in payment of a debt, as decreed by a country's government.