Determine the Zeros (If Any) of the Rational Function $g ( x ) = \frac { x ^ { 3 } - 64 } { x ^ { 2 } + 6 }$

Multiple Choice

Determine the zeros (if any) of the rational function $g ( x ) = \frac { x ^ { 3 } - 64 } { x ^ { 2 } + 6 }$ .

A) $x = - \sqrt { 6 } , x = \sqrt { 6 } , x = 4$
B) no zeros
C) x = -4, x = 4
D) x = 4
E) $x = - \sqrt { 6 } , x = \sqrt { 6 } , x = - 4 , x = 4$