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

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

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