If X = $\frac { 3 } { 5 }$ Is a Root Of

Multiple Choice

If x = $\frac { 3 } { 5 }$ is a root of $25 x ^ { 3 } - 105 x ^ { 2 } + 99 x - 27 = 0$ , use synthetic division to factor the polynomial completely and list all real solutions of the equation.

A) $( 5 x - 3 ) ( 5 x + 3 ) ( x - 3 )$ x = $\frac { 3 } { 5 }$ , $- \frac { 3 } { 5 }$ , 3
B) $( 5 x + 3 ) ^ { 2 } ( x - 3 )$ x = $- \frac { 3 } { 5 }$ , 3
C) $( 5 x - 3 ) ( x - 3 ) ^ { 2 }$ x = $\frac { 3 } { 5 }$ , 3
D) $( 5 x + 3 ) ( x - 3 ) ^ { 2 }$ x = $- \frac { 3 } { 5 }$ , 3
E) $( 5 x - 3 ) ^ { 2 } ( x - 3 )$ x = $\frac { 3 } { 5 }$ , 3