perplexus.info :: Just Math : polynomial problem 3

polynomial problem 3 (Posted on 2016-10-08)

Let P(x) be a nonzero polynomial such that

(x-1)P(x+1) = (x+2)P(x)

for every real x, and P(2)^2 = P(3).

Then find P(2016).

No Solution Yet Submitted by Danish Ahmed Khan

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a D2 solution

Comment 2 of 2 |

Entering (2,4),(3,16),(4,40),(5,80), evaluated from the text, into a linear equation solver we get

p(x)=2/3*(x^3-x) as a direct formula

evaluating p(2016) we get 5,462,358,720

Posted by Ady TZIDON on 2016-10-08 15:42:51

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