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Homework Statement
Find all polynomials P(x), such that P(x² - 2x) = [P(x-2)]²
Homework Equations
Polynomial equations
The Attempt at a Solution
Let x = y+2, then
P(y²+2y) = P²(y)
I tried to analyse by derivating
P'(y²+2y)(2y+2) = 2P(y)P'(y)
P'(y²+2y)(y+1) = P'(y)P(y)
I am not sure if I derivated correctly, though
Yet, that's it. Any ideas?