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Write the Partial Fraction Decomposition of the Rational Expression 2x31x2+13x5(x2+4)3\frac { 2 x ^ { 3 } - 1 x ^ { 2 } + 13 x - 5 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }

Question 58

Multiple Choice

Write the partial fraction decomposition of the rational expression.
- 2x31x2+13x5(x2+4) 3\frac { 2 x ^ { 3 } - 1 x ^ { 2 } + 13 x - 5 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }


A) 2x+1(x2+4) 2+5x+1(x2+4) 3\frac { 2 x + 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x + 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }
B) x+1x2+4+2x1(x2+4) 2+5x1(x2+4) 3\frac { x + 1 } { x ^ { 2 } + 4 } + \frac { 2 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }
C) xx2+4+2x1(x2+4) 2+5x1(x2+4) 3\frac { x } { x ^ { 2 } + 4 } + \frac { 2 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }
D) 2x1(x2+4) 2+5x1(x2+4) 3\frac { 2 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 2 } } + \frac { 5 x - 1 } { \left( x ^ { 2 } + 4 \right) ^ { 3 } }

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