Fitting polynomial curve

[Astan Chee]

Hi,
I have 2 points in 3D space and a bunch of points in-between them. I'm
trying to fit a polynomial curve on it. Currently I'm looking through numpy
but I don't think the function exists to fit a function like this:
y = ax**4 + bx**3 + cx**2 + dx + e
(I'm not sure what thats called but one degree up from a cubic curve)
Also, I'm sure it'll take alot of time to brute force it like this but I'm
sure I'm missing something for this.
Thanks for any advice.
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