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Find the Partial Fraction Decomposition 5x2x34x=Ax+Bx+2+Cx2\frac { 5 x - 2 } { x ^ { 3 } - 4 x } = \frac { A } { x } + \frac { B } { x + 2 } + \frac { C } { x - 2 }

Question 183

Multiple Choice

Find the partial fraction decomposition.
- 5x2x34x=Ax+Bx+2+Cx2\frac { 5 x - 2 } { x ^ { 3 } - 4 x } = \frac { A } { x } + \frac { B } { x + 2 } + \frac { C } { x - 2 }


A) A=12, B=32,C=1\mathrm { A } = - \frac { 1 } { 2 } , \mathrm {~B} = \frac { 3 } { 2 } , \mathrm { C } = 1
B) A=12, B=1,C=32\mathrm { A } = - \frac { 1 } { 2 } , \mathrm {~B} = 1 , \mathrm { C } = \frac { 3 } { 2 }
C) A=12, B=1,C=32\mathrm { A } = \frac { 1 } { 2 } , \mathrm {~B} = 1 , \mathrm { C } = - \frac { 3 } { 2 }
D) A=12, B=32,C=1\mathrm { A } = \frac { 1 } { 2 } , \mathrm {~B} = - \frac { 3 } { 2 } , \mathrm { C } = 1

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