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Find All Rational Roots of the Equation 28x4+164x3213x2+76x7=028 x ^ { 4 } + 164 x ^ { 3 } - 213 x ^ { 2 } + 76 x - 7 = 0

Question 9

Multiple Choice

Find all rational roots of the equation. 28x4+164x3213x2+76x7=028 x ^ { 4 } + 164 x ^ { 3 } - 213 x ^ { 2 } + 76 x - 7 = 0


A) x=14,x=12,x=7,x=19\quad x = \frac { 1 } { 4 } , x = \frac { 1 } { 2 } , x = - 7 , x = \frac { 1 } { 9 }
B) x=14,x=14,x=7,x=17\quad x = \frac { 1 } { 4 } , x = \frac { 1 } { 4 } , x = 7 , x = \frac { 1 } { 7 }
C) x=12,x=12,x=7,x=17x = \frac { 1 } { 2 } , x = \frac { 1 } { 2 } , x = - 7 , x = \frac { 1 } { 7 }
D) x=12,x=12,x=9,x=17\quad x = \frac { 1 } { 2 } , x = \frac { 1 } { 2 } , x = 9 , x = \frac { 1 } { 7 }

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