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Find the Partial Fraction Decomposition for the Rational Expression 4x3+8x2−6x+22x2−x−1\frac { 4 x ^ { 3 } + 8 x ^ { 2 } - 6 x + 2 } { 2 x ^ { 2 } - x - 1 }

Question 232

Multiple Choice

Find the partial fraction decomposition for the rational expression.
- 4x3+8x2−6x+22x2−x−1\frac { 4 x ^ { 3 } + 8 x ^ { 2 } - 6 x + 2 } { 2 x ^ { 2 } - x - 1 }


A) 2x+5+−76x+3+133x−32 x + 5 + \frac { - 7 } { 6 x + 3 } + \frac { 13 } { 3 x - 3 }

B) 2x+5+−136x+3+83x−32 x + 5 + \frac { - 13 } { 6 x + 3 } + \frac { 8 } { 3 x - 3 }

C) 2x−5+−132x+1+7x−12 x - 5 + \frac { - 13 } { 2 x + 1 } + \frac { 7 } { x - 1 }

D) 2x−5+−56x+3+13x−32 x - 5 + \frac { - 5 } { 6 x + 3 } + \frac { 1 } { 3 x - 3 }

Correct Answer:

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