If $x = \frac { 2 } { 5 }$ Is a Root Of

Multiple Choice

If $x = \frac { 2 } { 5 }$ is a root of $25 x ^ { 3 } - 70 x ^ { 2 } + 44 x - 8 = 0$ , use synthetic division to factor the polynomial completely and list all real solutions of the equation.

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