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

question 43

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