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Which template fits (x+2)/((x+1)(x^2+1))?
AA/(x+1) + Bx/(x^2+1)
BA/(x+1) + (Bx+C)/(x^2+1)
C(Ax+B)/(x+1) + C/(x^2+1)
DA/(x+1) + B/(x^2+1)
Answer & Solution
Correct answer: B. A/(x+1) + (Bx+C)/(x^2+1)
The irreducible quadratic x^2+1 needs a linear numerator Bx+C, while the linear factor needs a constant.
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