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Find the Partial Fraction Decomposition for the Rational Expression 4x2+20x12(2x2+1)(4x)\frac { 4 x ^ { 2 } + 20 x - 12 } { \left( 2 x ^ { 2 } + 1 \right) ( 4 - x ) }

Question 81

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- 4x2+20x12(2x2+1) (4x) \frac { 4 x ^ { 2 } + 20 x - 12 } { \left( 2 x ^ { 2 } + 1 \right) ( 4 - x ) }


A) 4x42x2+1+4x4\frac { 4 x - 4 } { 2 x ^ { 2 } + 1 } + \frac { 4 } { x - 4 }
B) 4x42x2+1+4x4\frac { 4 x - 4 } { 2 x ^ { 2 } + 1 } + \frac { - 4 } { x - 4 }
C) 135x+1202x2+1+84x4\frac { 135 x + 120 } { 2 x ^ { 2 } + 1 } + \frac { - 84 } { x - 4 }
D) 135x1202x2+1+84x4\frac { 135 x - 120 } { 2 x ^ { 2 } + 1 } + \frac { - 84 } { x - 4 }

Correct Answer:

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