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February 1, 2015

February 1, 2015

Posted by **GT** on Wednesday, July 10, 2013 at 10:59am.

x(f(x+a)−f(x))=nf(x)

Find the largest possible number of such polynomials f(x) for a fixed n<1000.

Details and assumptions

A polynomial is monic if its leading coefficient is 1. For example, the polynomial x3+3x−5 is monic but the polynomial −x4+2x3−6 is not.

- math -
**Alestair**, Saturday, July 13, 2013 at 1:30am500

- math -
**exactly**, Saturday, September 28, 2013 at 10:26pmAlestair no point posting wrong answers. Anyways stop posting brilliant problems. Anyways since the live period is over, here is a hint: show that for a fixed n the number of polynomials is the number of divisors of n.

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