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Expand the Quotient by Partial Fractions t4+t29t12t4+3t2\frac { t ^ { 4 } + t ^ { 2 } - 9 t - 12 } { t ^ { 4 } + 3 t ^ { 2 } }

Question 63

Multiple Choice

Expand the quotient by partial fractions.
- t4+t29t12t4+3t2\frac { t ^ { 4 } + t ^ { 2 } - 9 t - 12 } { t ^ { 4 } + 3 t ^ { 2 } }


A) 1+3t+2t2+3+3t+4t21 + \frac { 3 t + 2 } { t ^ { 2 } + 3 } + \frac { - 3 } { t } + \frac { - 4 } { t ^ { 2 } } .
B) 1+3t+2t2+3+4t21 + \frac { 3 t + 2 } { t ^ { 2 } + 3 } + \frac { - 4 } { t ^ { 2 } }
C) 1+3t+2t2+3+3t+4t21 + \frac { 3 t + 2 } { t ^ { 2 } + 3 } + \frac { - 3 } { t } + \frac { - 4 } { t ^ { 2 } }
D) 1+2t2+3+3t+4t21 + \frac { 2 } { t ^ { 2 } + 3 } + \frac { - 3 } { t } + \frac { - 4 } { t ^ { 2 } }

Correct Answer:

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