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Polynomial Ponder II (Posted on 2014-08-22) Difficulty: 3 of 5
F(x) is a polynomial with real coefficients such that:

F(0) = 1, and:
F(2) + F(3) = 125, and:
F(x)*F(2x2) = F(2x3 + x)

Find the value of F(5).

See The Solution Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution Comment 3 of 3 |
(In reply to Solution by Harry)

Well done, Harry.
I note Harry's solution:  1 + 2x2 + x4 (1 + x2)2
is the square of a trivial solution
, which solved the equation but not the boundary condition of F(2) + F(3) = 125
  Posted by Larry on 2014-08-26 17:23:55

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