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A3 Q3c

Where does the gamma come from / why are we allowed to add some root of gamma to the polynomial of degree 4? Thanks.

Well, you want it to be 4th degree, so you need a multiplicative factor of (x+something).
The something does not matter and can be 0. The beta must be nonzero.
You do not add some root, its the degree requested that “adds” a root.

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