A Factor the Expression $x ^ { 3 } - 27$

a. Factor the expression $x ^ { 3 } - 27$
b. Use the zero product rule and the quadratic formula to solve the equation $x ^ { 3 } - 27 = 0$ = 0. There should be three solutions.

A) a. $( x - 3 ) \left( x ^ { 2 } + 3 x + 9 \right)$
b. $\left\{ 3 , \frac { 3 } { 2 } \pm \frac { 3 \sqrt { 3 } } { 2 } i \right\}$

B) a. $( x + 3 ) \left( x ^ { 2 } - 3 x + 9 \right)$
b. $\left\{ 3 , - \frac { 3 } { 2 } \pm \frac { 3 \sqrt { 3 } } { 2 } i \right\}$

C) a. $( x + 3 ) \left( x ^ { 2 } - 3 x + 9 \right)$
b. $\left\{ 3 , \frac { 3 } { 2 } \pm \frac { 3 \sqrt { 3 } } { 2 } i \right\}$

D) a. $( x - 3 ) \left( x ^ { 2 } + 3 x + 9 \right)$
b. $\left\{ 3 , - \frac { 3 } { 2 } \pm \frac { 3 \sqrt { 3 } } { 2 } i \right\}$