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Write the Partial Fraction Decomposition of the Improper Rational Expression x3−2x2−14x+48x2+x−20\frac { x ^ { 3 } - 2 x ^ { 2 } - 14 x + 48 } { x ^ { 2 } + x - 20 }

Question 38

Multiple Choice

Write the partial fraction decomposition of the improper rational expression. x3−2x2−14x+48x2+x−20\frac { x ^ { 3 } - 2 x ^ { 2 } - 14 x + 48 } { x ^ { 2 } + x - 20 }


A) 13(8x−4+19x+5) \frac { 1 } { 3 } \left( \frac { 8 } { x - 4 } + \frac { 19 } { x + 5 } \right)
B) x−3+13(8x−4−19x+5) x - 3 + \frac { 1 } { 3 } \left( \frac { 8 } { x - 4 } - \frac { 19 } { x + 5 } \right)
C) ​ x−3+13(8x−4+19x+5) x - 3 + \frac { 1 } { 3 } \left( \frac { 8 } { x - 4 } + \frac { 19 } { x + 5 } \right)
D) x−3+13(16x+4+19x−5) x - 3 + \frac { 1 } { 3 } \left( \frac { 16 } { x + 4 } + \frac { 19 } { x - 5 } \right)
E) x−3−13(16x−4−19x−5) x - 3 - \frac { 1 } { 3 } \left( \frac { 16 } { x - 4 } - \frac { 19 } { x - 5 } \right)

Correct Answer:

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