# User talk:PaoloMartini

Revision as of 20:14, 15 September 2006 by PaoloMartini (talk | contribs)

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Revision as of 20:14, 15 September 2006 by PaoloMartini (talk | contribs)

$p(x)=\sum _{i=0}^{n}a_{i}x^{i},a_{n}\neq 0$

$p(x)=a_{n}x^{n}+\sum _{i=0}^{n-1}a_{i}x^{i}$

$p(x-1)=a_{n}(x-1)^{n}+\sum _{i=0}^{n-1}a_{i}(x-1)^{i}$

$(x-1)^{n}=\sum _{k=0}^{n}{n \choose k}x^{n-k}(-1)^{k}$

$p(x-1)=a_{n}\sum _{k=0}^{n}{n \choose k}x^{n-k}(-1)^{k}+\sum _{i=0}^{n-1}a_{i}(x-1)^{i}$

$p(x-1)=a_{n}x^{n}+a_{n}\sum _{k=1}^{n}{n \choose k}x^{n-k}(-1)^{k}+\sum _{i=0}^{n-1}a_{i}(x-1)^{i}$