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Find the Partial Fraction Decomposition for the Rational Expression 8x297x+18(x2+3x6)(x8)\frac { 8 x ^ { 2 } - 97 x + 18 } { \left( x ^ { 2 } + 3 x - 6 \right) ( x - 8 ) }

Question 328

Multiple Choice

Find the partial fraction decomposition for the rational expression.
8x297x+18(x2+3x6) (x8) \frac { 8 x ^ { 2 } - 97 x + 18 } { \left( x ^ { 2 } + 3 x - 6 \right) ( x - 8 ) }


A) 11xx2+3x6+3x8\frac { 11 x } { x ^ { 2 } + 3 x - 6 } + \frac { - 3 } { x - 8 }
B) 11xx2+3x6+3x8\frac { 11 x } { x ^ { 2 } + 3 x - 6 } + \frac { 3 } { x - 8 }
C) 11xx8+3x2+3x6\frac { 11 x } { x - 8 } + \frac { - 3 } { x ^ { 2 } + 3 x - 6 }
D) 3xx2+3x6+11x8\frac { 3 x } { x ^ { 2 } + 3 x - 6 } + \frac { - 11 } { x - 8 }

Correct Answer:

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