Find a Polynomial Function of the Lowest Degree with Real $0 , - 3,1 + 3 i$

Find a polynomial function of the lowest degree with real coefficients that has the zeros below and whose leading coefficient is one.
$0 , - 3,1 + 3 i$

A) $f ( x ) = x ^ { 4 } + 30 x ^ { 3 } - 5 x ^ { 2 } + x$
B) $f ( x ) = x ^ { 4 } + x ^ { 3 } + 4 x ^ { 2 } + 30 x$
C) $f ( x ) = x ^ { 4 } - 5 x ^ { 3 } + x ^ { 2 } + 30 x$
D) $f ( x ) = x ^ { 4 } + x ^ { 3 } + 30 x ^ { 2 } - 5 x$
E) $f ( x ) = x ^ { 4 } - 5 x ^ { 3 } + 30 x ^ { 2 } + x$

Correct Answer:

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