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Find the Partial Fraction Decomposition for the Rational Expression 7x2+32x9(2x2+1)(4x)\frac { 7 x ^ { 2 } + 32 x - 9 } { \left( 2 x ^ { 2 } + 1 \right) ( 4 - x ) }

Question 239

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- 7x2+32x9(2x2+1) (4x) \frac { 7 x ^ { 2 } + 32 x - 9 } { \left( 2 x ^ { 2 } + 1 \right) ( 4 - x ) }


A) 237x1082x2+1+135x4\frac { 237 x - 108 } { 2 x ^ { 2 } + 1 } + \frac { - 135 } { x - 4 }

B) 7x42x2+1+7x4\frac { 7 x - 4 } { 2 x ^ { 2 } + 1 } + \frac { 7 } { x - 4 }

C) 237x+1082x2+1+135x4\frac { 237 x + 108 } { 2 x ^ { 2 } + 1 } + \frac { - 135 } { x - 4 }

D) 7x42x2+1+7x4\frac { 7 x - 4 } { 2 x ^ { 2 } + 1 } + \frac { - 7 } { x - 4 }

Correct Answer:

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