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Partial Fractions with Mixed Factors
Worksheet
Grade Level
Calculus II
CAL2.39 Partial Fractions with Mixed Factors
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The rational function (x
6
- 2x
5
+ x
4
- 7x
3
- 15x
2
- 28x - 36)/((x + 1)(x - 3)(x
2
+ x + 3)) is improper. Which full partial fraction decomposition, including the polynomial part, is correct over the real numbers?
A
x
2
- x + 2 + 1/(x + 1) + (-2)/(x - 3) + (3x + 1)/(x
2
+ x + 3)
B
x
2
- x + 2 + 2/(x + 1) + (-2)/(x - 3) + (3x + 1)/(x
2
+ x + 3)
C
x
2
+ x + 2 + 1/(x + 1) + (-2)/(x - 3) + (3x + 1)/(x
2
+ x + 3)
D
x
2
- x + 3 + 1/(x + 1) + (-2)/(x - 3) + (3x + 1)/(x
2
+ x + 3)
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