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Given a polynomial

$$ y(x) = a_0 + a_1 x + a_2 x^2 +... a_k x^k $$

I'm told there exists a transformation $\phi: x \rightarrow F(a_0 , a_1 ... a_k , x) $ such that

$$ y(\phi(x)) = e_0 + e_1 \phi + e_2 \phi^k $$

But i'm not sure how to derive the form of this operation in the general case.

Sidharth Ghoshal
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    see https://math.stackexchange.com/questions/542108/how-to-transform-a-general-higher-degree-five-or-higher-equation-to-normal-form – IV_ Apr 26 '24 at 16:04

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