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

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: $f ( x ) = x ^ { 4 } + 8 x ^ { 3 } + 9 x ^ { 2 } + 10 x + 100$