perplexus.info :: Just Math : All possible polynomials puzzle

All possible polynomials puzzle (Posted on 2015-05-25)

Determine all possible polynomials P(x) having real coefficients that satisfy the equation:

(x-2010)*P(x+67) = x*P(x) for every integer x.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

P(x) = r*(x-67)*(x-134)*...*(x-1943)*(x-2010), where r is any real number.
For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Rooting it out (spoiler)	Steve Herman	2015-05-25 13:39:51

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