Partially indifferent

Algebra Level pending

The partial fraction decomposition of a rational function is given as j = 1 9 1 ( 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) .


The answer is 511.

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