Find the inflection points, if any, of f(x)=x^4+2x^3-120x^2+228x-55.


Question: Find the inflection points, if any, of f(x)=x4+2x3120x2+228x55f(x)={{x}^{4}}+2{{x}^{3}}-120{{x}^{2}}+228x-55.

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