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The correct form of 1/((x-1)(x²+1)) is
AA/(x-1)+B/(x²+1)
BA/(x-1)+(Bx+C)/(x²+1)²
CA/(x-1)+(Bx+C)/(x²+1)
D(Ax+B)/(x-1)+C/(x²+1)
Answer & Solution
Correct answer: C. A/(x-1)+(Bx+C)/(x²+1)
A linear factor takes a constant numerator while the irreducible quadratic needs a linear numerator Bx + C.
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