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

Multiple Choice

Find an nth degree polynomial function with real coefficients satisfying the given conditions.
- $\mathrm { n } = 3 ; 3$ and $\mathrm { i }$ are zeros; $\mathrm { f } ( 2 ) = 30$

A) $f ( x ) = - 6 x ^ { 3 } + 18 x ^ { 2 } - 6 x + 18$
B) $f ( x ) = 6 x ^ { 3 } - 18 x ^ { 2 } + 6 x - 18$
C) $f ( x ) = 6 x ^ { 3 } - 18 x ^ { 2 } - 6 x + 18$
D) $f ( x ) = - 6 x ^ { 3 } + 18 x ^ { 2 } + 6 x - 18$