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Find the Partial Fraction Decomposition for the Rational Expression 4x3+8x2+5x72x2x1\frac { 4 x ^ { 3 } + 8 x ^ { 2 } + 5 x - 7 } { 2 x ^ { 2 } - x - 1 }

Question 102

Multiple Choice

Find the partial fraction decomposition for the rational expression.
4x3+8x2+5x72x2x1\frac { 4 x ^ { 3 } + 8 x ^ { 2 } + 5 x - 7 } { 2 x ^ { 2 } - x - 1 }


A) 2x+5+76x+3+133x32 x + 5 + \frac { - 7 } { 6 x + 3 } + \frac { 13 } { 3 x - 3 }
B) 2x5+56x+3+13x32 x - 5 + \frac { - 5 } { 6 x + 3 } + \frac { 1 } { 3 x - 3 }
C) 2x5+132x+1+7x12 x - 5 + \frac { 13 } { 2 x + 1 } + \frac { 7 } { x - 1 }
D) 2x+5+166x+3+103x32 x + 5 + \frac { 16 } { 6 x + 3 } + \frac { 10 } { 3 x - 3 }

Correct Answer:

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