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Find the Partial Fraction Decomposition for the Rational Expression 4x2+3x+56(x264)(x1)\frac { 4 x ^ { 2 } + 3 x + 56 } { \left( x ^ { 2 } - 64 \right) ( x - 1 ) }

Question 348

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- 4x2+3x+56(x264) (x1) \frac { 4 x ^ { 2 } + 3 x + 56 } { \left( x ^ { 2 } - 64 \right) ( x - 1 ) }


A) 2x8+3x+8+1x1\frac { 2 } { x - 8 } + \frac { 3 } { x + 8 } + \frac { 1 } { x - 1 }
B) 5x264+1x1\frac { 5 } { x ^ { 2 } - 64 } + \frac { - 1 } { x - 1 }
C) 5x8+3x+8+2x1\frac { 5 } { x - 8 } + \frac { 3 } { x + 8 } + \frac { - 2 } { x - 1 }
D) 3x8+2x+8+1x1\frac { 3 } { x - 8 } + \frac { 2 } { x + 8 } + \frac { - 1 } { x - 1 }

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