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Find the Partial Fraction Decomposition for the Rational Expression 10x2124x+12(x2+2x6)(x10)\frac { 10 x ^ { 2 } - 124 x + 12 } { \left( x ^ { 2 } + 2 x - 6 \right) ( x - 10 ) }

Question 170

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- 10x2124x+12(x2+2x6) (x10) \frac { 10 x ^ { 2 } - 124 x + 12 } { \left( x ^ { 2 } + 2 x - 6 \right) ( x - 10 ) }


A) 12xx2+2x6+2x10\frac { 12 x } { x ^ { 2 } + 2 x - 6 } + \frac { 2 } { x - 10 }
B) 12xx2+2x6+2x10\frac { 12 x } { x ^ { 2 } + 2 x - 6 } + \frac { - 2 } { x - 10 }
C) 2xx2+2x6+12x10\frac { 2 x } { x ^ { 2 } + 2 x - 6 } + \frac { - 12 } { x - 10 }
D) 12xx10+2x2+2x6\frac { 12 x } { x - 10 } + \frac { - 2 } { x ^ { 2 } + 2 x - 6 }

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