Determine the Zeros (If Any) of the Rational Function $g ( x ) = \frac { x ^ { 3 } - 8 } { x ^ { 2 } + 6 }$

Multiple Choice

Determine the zeros (if any) of the rational function $g ( x ) = \frac { x ^ { 3 } - 8 } { x ^ { 2 } + 6 }$ .

A) x = -2, x = 2
B) x = 2
C) $x = - \sqrt { 6 } , x = \sqrt { 6 } , x = 2$
D) $x = - \sqrt { 6 } , x = \sqrt { 6 } , x = - 2 , x = 2$
E) no zeros