If X = $\frac { 2 } { 7 }$ Is a Root Of

question 145

Multiple Choice

If x = $\frac { 2 } { 7 }$ is a root of $49 x ^ { 3 } - 126 x ^ { 2 } + 60 x - 8 = 0$ , use synthetic division to factor the polynomial completely and list all real solutions of the equation.

• A) \(( 7 x + 2 ) ^ { 2 } ( x - 2 )\) ; x = \(- \frac { 2 } { 7 }\) , 2
• B) \(( 7 x - 2 ) ( x - 2 ) ^ { 2 }\) ; x = \(\frac { 2 } { 7 }\) , 2
• C) \(( 7 x + 2 ) ( x - 2 ) ^ { 2 }\) ; x = \(- \frac { 2 } { 7 }\) , 2
• D) \(( 7 x - 2 ) ^ { 2 } ( x - 2 )\) ; x = \(\frac { 2 } { 7 }\) , 2
• E) \(( 7 x - 2 ) ( 7 x + 2 ) ( x - 2 )\) ; x = \(\frac { 2 } { 7 }\) , \(- \frac { 2 } { 7 }\) , 2

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