Form a Polynomial F(x) with Real Coefficients Having the Given $1 , - 1$

Multiple Choice

Form a polynomial f(x) with real coefficients having the given degree and zeros.
-Degree: 4; zeros: $1 , - 1$ , and $4 - 2 \mathrm { i }$

A) $f ( x ) = x ^ { 4 } + 8 x ^ { 3 } + 16 x ^ { 2 } - 8 x + 17$
B) $f ( x ) = x ^ { 4 } + 8 x ^ { 3 } + 16 x ^ { 2 } - 8 x - 17$
C) $f ( x ) = x ^ { 4 } - 8 x ^ { 3 } + 16 x ^ { 2 } + 8 x + 17$
D) $f ( x ) = x ^ { 4 } - 8 x ^ { 3 } + 16 x ^ { 2 } + 8 x - 17$