perplexus.info :: Just Math : Function Challenge

Function Challenge (Posted on 2007-01-27)

Let F(x) be a polynomial with real coefficients. Find all functions F(x) satisfying:

F(x)*F(2x^2-1) = F(x^2)*F(2x-1)

See The Solution Submitted by atheron

Rating: 3.5000 (2 votes)

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Puzzle Thoughts

Comment 3 of 3 |

F(x)=c*(x-1)^k (c is a real number and k is a positive integer)

Posted by K Sengupta on 2023-07-15 23:26:20

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