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Write the Partial Fraction Decomposition of the Rational Expression 5x2x2+x1\frac { 5 - x } { 2 x ^ { 2 } + x - 1 }

Question 5

Multiple Choice

Write the partial fraction decomposition of the rational expression.​ 5x2x2+x1\frac { 5 - x } { 2 x ^ { 2 } + x - 1 }


A) 32x12x+1\frac { 3 } { 2 x - 1 } - \frac { 2 } { x + 1 }
B) ​ 32x+1+2x+1\frac { 3 } { 2 x + 1 } + \frac { 2 } { x + 1 }
C) 32x12x1\frac { 3 } { 2 x - 1 } - \frac { 2 } { x - 1 }
D) 32x1+2x+1\frac { 3 } { 2 x - 1 } + \frac { 2 } { x + 1 }
E) 32x+12x+1\frac { 3 } { 2 x + 1 } - \frac { 2 } { x + 1 }

Correct Answer:

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