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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 2 of 5 |
(In reply to Solution by Bractals)

Looks good to me. Your L(x) has zeros at 3 and 243, as it should.  Is this then the monic L(x) of least degree that works?
  Posted by Richard on 2005-12-23 19:57:17

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