Difference between revisions of "User talk:PaoloMartini"
Jump to navigation
Jump to search
PaoloMartini (talk | contribs) |
PaoloMartini (talk | contribs) |
||
Line 22: | Line 22: | ||
:<math>p(x-1) = \sum_{i=0}^n a_i (x - 1)^i |
:<math>p(x-1) = \sum_{i=0}^n a_i (x - 1)^i |
||
− | = \sum_{i=0}^n \left[ a_i \left( \sum_{k=0}^n {n \choose k} x^k (-1)^k \right) \right] |
+ | = \sum_{i=0}^n \left[ a_i \left( \sum_{k=0}^n {n \choose k} x^k (-1)^k \right) \right] |
+ | = \sum_{i=0}^n \sum_{k=0}^i (-1)^k a_i {n \choose k} x^k</math> |
||
zZzZ... |
zZzZ... |
Revision as of 17:29, 14 September 2006
Show that if is a polynomial of degree , then is a polynomial of the same degree.
Definition of polynomial.
Binomial theorem.
Special case.
Binomial coefficient simmetry.
Hence:
zZzZ...