Partially indifferent

Algebra Level pending

The partial fraction decomposition of a rational function is given as j=191(x+1)j \displaystyle \sum_{j=1}^9 \dfrac1{(x+1)^j} . If this rational function can be expressed as Q(x)P(x) \dfrac{Q(x)}{P(x)} , where Q(x)Q(x) and P(x)P(x) doesn't share any common factor, find Q(1)Q(1) .

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