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Find a Polynomial of Least Degree with Only Real Coefficients 7,117 , - 11

Question 348

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- 7,117 , - 11 , and 2+4i2 + 4 \mathrm { i }


A) f(x) =x49x328x2+194x1540f ( x ) = x ^ { 4 } - 9 x ^ { 3 } - 28 x ^ { 2 } + 194 x - 1540
B) f(x) =x473x2+388x1540f ( x ) = x ^ { 4 } - 73 x ^ { 2 } + 388 x - 1540
C) f(x) =x497x2+388x1540f ( x ) = x ^ { 4 } - 97 x ^ { 2 } + 388 x - 1540
D) f(x) =x49x3+28x2194x+1540f ( x ) = x ^ { 4 } - 9 x ^ { 3 } + 28 x ^ { 2 } - 194 x + 1540

Correct Answer:

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