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Choose the correct decomposition of 1/((x-1)(x^2+1)).
AA/(x-1) + B/(x^2+1)
BA/(x-1) + B/(x+1) + C/(x-1)
CA/(x-1) + (Bx+C)/(x^2+1)
D(Ax+B)/(x-1) + C/(x^2+1)
Answer & Solution
Correct answer: C. A/(x-1) + (Bx+C)/(x^2+1)
An irreducible quadratic factor gets a linear numerator Bx + C, while the linear factor gets a constant.
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