# 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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