If $x = - 1$ Is a Root Of $x ^ { 3 } + 2 x ^ { 2 } - x - 2 = 0$

If $x = - 1$ is a root of $x ^ { 3 } + 2 x ^ { 2 } - x - 2 = 0$ , use synthetic division to factor the polynomial completely and list all real solutions of the equation.

A) $( x - 2 ) ( x + 1 ) ( x - 1 ) ; x = 2 , - 1,1$
B) $( x + 2 ) ( x + 1 ) ( x - 1 ) ; x = - 2 , - 1,1$
C) $( x + 2 ) ( x + 1 ) ^ { 2 } ; x = - 2 , - 1$
D) $( x + 2 ) ^ { 2 } ( x + 1 ) ; x = - 2 , - 1$
E) $( x + 2 ) ( x - 2 ) ( x - 1 ) ; x = - 2,2,1$

Correct Answer:

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