If X = -4 Is a Root Of $x ^ { 3 } + 5 x ^ { 2 } - 16 x - 80 = 0$

Multiple Choice

If x = -4 is a root of $x ^ { 3 } + 5 x ^ { 2 } - 16 x - 80 = 0$ , use synthetic division to factor the polynomial completely and list all real solutions of the equation.

A) $( x + 5 ) ( x - 5 ) ( x - 4 ) ; x = - 5,5,4$
B) $( x + 5 ) ^ { 2 } ( x + 4 ) ; x = - 5 , - 4$
C) $( x + 5 ) ( x + 4 ) ^ { 2 } ; x = - 5 , - 4$
D) $( x - 5 ) ( x + 4 ) ( x - 4 ) ; x = 5 , - 4,4$
E) $( x + 5 ) ( x + 4 ) ( x - 4 ) ; x = - 5 , - 4,4$