Write a Polynomial Function of Minimum Degree with Real Coefficients $- 1$

Multiple Choice

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

A) $f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 28 x + 35$
B) $f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 28 x + 34$
C) $f ( x ) = x ^ { 3 } + 5 x ^ { 2 } + 28 x + 34$
D) $f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 28 x - 34$