Find an Nth Degree Polynomial Function with Real Coefficients Satisfying $\mathrm { n } = 3 ; - 1$

Multiple Choice

Find an nth degree polynomial function with real coefficients satisfying the given conditions.
- $\mathrm { n } = 3 ; - 1$ and $3 + 2 \mathrm { i }$ are zeros; leading coefficient is 1

A) $f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 7 x + 13$
B) $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 7 x + 13$
C) $f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 15 x + 13$
D) $f ( x ) = x ^ { 3 } + 5 x ^ { 2 } + 7 x - 14$