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Find the Partial Fraction Decomposition for the Rational Expression 532x2+342x(x2+2)(x+6)\frac { 532 x ^ { 2 } + 342 x } { \left( x ^ { 2 } + 2 \right) ( x + 6 ) }

Question 325

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- 532x2+342x(x2+2) (x+6) \frac { 532 x ^ { 2 } + 342 x } { \left( x ^ { 2 } + 2 \right) ( x + 6 ) }


A) 82x150x2+2+450x+6\frac { 82 x - 150 } { x ^ { 2 } + 2 } + \frac { - 450 } { x + 6 }

B) 82x150x2+2+450x+6\frac { 82 x - 150 } { x ^ { 2 } + 2 } + \frac { 450 } { x + 6 }

C) 82xx+6+300x2+2\frac { 82 x } { x + 6 } + \frac { 300 } { x ^ { 2 } + 2 }

D) 82x+450x2+2+150x+6\frac { 82 x + 450 } { x ^ { 2 } + 2 } + \frac { - 150 } { x + 6 }

Correct Answer:

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