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Which setup decomposes 1/((x-1)^2 (x+2))?
A(Ax+B)/(x-1)^2 + C/(x+2)
BA/(x-1)^2 + B/(x+2) + C/x
CA/(x-1) + B/(x-1)^2 + C/(x+2)
DA/(x-1) + B/(x-1) + C/(x+2)
Answer & Solution
Correct answer: C. A/(x-1) + B/(x-1)^2 + C/(x+2)
A repeated linear factor (x - 1)^2 needs a term for each power up to 2, plus one term for x + 2.
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