Write a Fourth-Degree Polynomial Equation with Real Coefficients and the Roots

Multiple Choice

Write a fourth-degree polynomial equation with real coefficients and the roots $i , 8 - i$ .

A) $\quad x ^ { 4 } - 16 x ^ { 3 } + 66 x ^ { 2 } - 16 x + 65 = 0$
B) $\quad x ^ { 4 } + 66 x ^ { 2 } - 16 x + 65 = 0$
C) none of these
D) $\quad x ^ { 4 } + 65 x ^ { 2 } - 16 x - 70 = 0$
E) $\quad x ^ { 4 } - 16 x ^ { 3 } - 65 x ^ { 2 } + 70 x + 16 = 0$