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

question 26

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) \(( 5 x - 2 ) ^ { 2 } ( x - 2 ) ; x = \frac { 2 } { 5 } , 2\)

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