Determine all polynomials L(x) satisfying the undernoted equation:
(x-243) L(3x) = 243 (x-1) L(x) for all x.

(In reply to Solution by owl)

(x-3)(x-9)(x-27)(x-81)(x-243) is the same as Bractals' solution, as verified by evaluating the latter at 3,9,27,81, and 243 using the graphing calculator in Microsoft Student 2006.  Your method also answers the uniqueness question.

Posted by Richard on 2005-12-23 23:23:35