Partially indifferent

Algebra Level pending

The partial fraction decomposition of a rational function is given as \( \displaystyle \sum_{j=1}^9 \dfrac1{(x+1)^j} \). If this rational function can be expressed as \( \dfrac{Q(x)}{P(x)} \), where \(Q(x) \) and \(P(x) \) doesn't share any common factor, find \(Q(1) \).

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