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Question Number 30588 by abdo imad last updated on 23/Feb/18
(nk)1⩽k⩽nisafamilyofintegrsnumbersletputp(x)=∑k=1nxnkandq(x)=∑j=0n−1xjifnk≡k−1[n]provethatqdividep.
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![(n_k )_(1≤k≤n) is a family of integrs numbers let put p(x)=Σ_(k=1) ^n x^n_k and q(x)= Σ_(j=0) ^(n−1) x^j if n_k ≡k−1[n] prove that q divide p.](Q30588.png)