Homework SourseWrite the form of the partial fraction decomposition of the
Write the form of the partial fraction decomposition of the rational expression.
5x2 - 6x + 7/(x - 1)(x2 + 1)
A. A/x - 2 + Bx2 + C/x2 + 3
B. A/x - 4 + Bx + C/x2 + 1
C. A/x - 3 + Bx + C/x2 + 1
D. A/x - 1 + Bx + C/x2 + 1
| A. A/x - 2 + Bx2 + C/x2 + 3 | |
| B. A/x - 4 + Bx + C/x2 + 1 | |
| C. A/x - 3 + Bx + C/x2 + 1 | |
| D. A/x - 1 + Bx + C/x2 + 1 |
Solution
D is the correct fraction decomposition of the given partial fraction.
First term will have only (x-1) in denominator while contant in numerator while second term will have ( x2 +1) in denominator and thus the corresponding numerator will be a linear term (Bx+ C)
