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Unknown Polynomials (Posted on 2005-12-23) Difficulty: 5 of 5
Determine all polynomials L(x) satisfying the undernoted equation:
(x-243) L(3x) = 243 (x-1) L(x) for all x.

See The Solution Submitted by K Sengupta    
Rating: 2.6667 (3 votes)

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re: Solution | Comment 4 of 5 |
(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
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