find-the-polynome-p-n-wich-verify-p-n-0-0-and-x-R-p-n-x-p-n-x-1-x-n-

Question Number 34215 by abdo imad last updated on 02/May/18

$${find}\:{the}\:{polynome}\:{p}_{{n}} \:{wich}\:{verify}\:{p}_{{n}} \left(\mathrm{0}\right)=\mathrm{0}\:{and} \\ $$$$\forall\:{x}\:\in\:{R}\:\:{p}_{{n}} \left({x}\right)−{p}_{{n}} \left({x}−\mathrm{1}\right)\:={x}^{{n}} \\ $$

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