Write a Polynomial Function of Minimum Degree with Real Coefficients $5 , - 3$

Multiple Choice

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the
polynomial in standard form.
- $5 , - 3$ , and $- 1 + 4 i$

A) $f ( x ) = x ^ { 4 } + 16 x ^ { 2 } - 64 x - 255$
B) $f ( x ) = x ^ { 4 } - 4 x ^ { 3 } - 20 x ^ { 2 } - 32 x - 255$
C) $f ( x ) = x ^ { 4 } - 2 x ^ { 2 } - 64 x - 255$
D) $f ( x ) = x ^ { 4 } - 4 x ^ { 3 } + 20 x ^ { 2 } + 32 x + 255$