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If x=25x = \frac { 2 } { 5 } Is a Root Of

Question 26

Multiple Choice

If x=25x = \frac { 2 } { 5 } is a root of 25x3−70x2+44x−8=025 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) (5x−2) (5x+2) (x−2) ;x=25,−25,2( 5 x - 2 ) ( 5 x + 2 ) ( x - 2 ) ; x = \frac { 2 } { 5 } , - \frac { 2 } { 5 } , 2
B) (5x+2) 2(x−2) ;x=−25,2( 5 x + 2 ) ^ { 2 } ( x - 2 ) ; x = - \frac { 2 } { 5 } , 2
C) (5x−2) (x−2) 2;x=25,2( 5 x - 2 ) ( x - 2 ) ^ { 2 } ; x = \frac { 2 } { 5 } , 2
D) (5x+2) (x−2) 2;x=−25,2( 5 x + 2 ) ( x - 2 ) ^ { 2 } ; x = - \frac { 2 } { 5 } , 2
E) (5x−2) 2(x−2) ;x=25,2( 5 x - 2 ) ^ { 2 } ( x - 2 ) ; x = \frac { 2 } { 5 } , 2

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