Find a Polynomial of Degree 3 with Real Coefficients That $- 4 , \mathrm { i } , - \mathrm { i } ; \mathrm { f } ( - 3 ) = 60$

Multiple Choice

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros: $- 4 , \mathrm { i } , - \mathrm { i } ; \mathrm { f } ( - 3 ) = 60$

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