Find an Nth Degree Polynomial Function with Real Coefficients Satisfying $\mathrm { n } = 3 ; - 4$

Multiple Choice

Find an nth degree polynomial function with real coefficients satisfying the given conditions.
- $\mathrm { n } = 3 ; - 4$ and $\mathrm { i }$ are zeros; $\mathrm { f } ( - 3 ) = 60$

A) $f ( x ) = 6 x ^ { 3 } + 24 x ^ { 2 } + 6 x + 24$
B) $f ( x ) = 6 x ^ { 3 } + 24 x ^ { 2 } - 6 x - 24$
C) $f ( x ) = - 6 x ^ { 3 } - 24 x ^ { 2 } - 6 x - 24$
D) $f ( x ) = - 6 x ^ { 3 } - 24 x ^ { 2 } + 6 x + 24$