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


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

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