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Find the Partial Fraction Decomposition for the Rational Expression 5x2+20x10(2x2+1)(3x)\frac { 5 x ^ { 2 } + 20 x - 10 } { \left( 2 x ^ { 2 } + 1 \right) ( 3 - x ) }

Question 169

Multiple Choice

Find the partial fraction decomposition for the rational expression.
5x2+20x10(2x2+1) (3x) \frac { 5 x ^ { 2 } + 20 x - 10 } { \left( 2 x ^ { 2 } + 1 \right) ( 3 - x ) }


A) 99x832x2+1+59x3\frac { 99 x - 83 } { 2 x ^ { 2 } + 1 } + \frac { - 59 } { x - 3 }
B) 5x52x2+1+5x3\frac { 5 x - 5 } { 2 x ^ { 2 } + 1 } + \frac { - 5 } { x - 3 }
C) 99x+832x2+1+59x3\frac { 99 x + 83 } { 2 x ^ { 2 } + 1 } + \frac { - 59 } { x - 3 }
D) 5x52x2+1+5x3\frac { 5 x - 5 } { 2 x ^ { 2 } + 1 } + \frac { 5 } { x - 3 }

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