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Find a Polynomial of Least Degree with Only Real Coefficients 2+i,22 + i , 2

Question 299

Multiple Choice

Find a polynomial of least degree with only real coefficients and having the given zeros.
- 2+i,22 + i , 2


A) f(x) =x3+6x2+13x+10f ( x ) = x ^ { 3 } + 6 x ^ { 2 } + 13 x + 10
B) f(x) =x36x2+13x10f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 13 x - 10
C) f(x) =x32x2(34i) x+6+8if ( x ) = x ^ { 3 } - 2 x ^ { 2 } - ( 3 - 4 i ) x + 6 + 8 i
D) f(x) =x3+7x2+12x+10f ( x ) = x ^ { 3 } + 7 x ^ { 2 } + 12 x + 10

Correct Answer:

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