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Find the Partial Fraction Decomposition 3x2+4x+3=Ax+3+Bx+1\frac { 3 } { x ^ { 2 } + 4 x + 3 } = \frac { A } { x + 3 } + \frac { B } { x + 1 }

Question 99

Multiple Choice

Find the partial fraction decomposition.
- 3x2+4x+3=Ax+3+Bx+1\frac { 3 } { x ^ { 2 } + 4 x + 3 } = \frac { A } { x + 3 } + \frac { B } { x + 1 }


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

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