General form of the solutions of polynomials

I was studying a article that solves the cube and quartic equation in the inverse sense:



##x = \sqrt[3]{A} + \sqrt[3]{B}##



##x = \sqrt[4]{A} + \sqrt[4]{B} + \sqrt[4]{C}##



http://ift.tt/1oM1pbO





I found this relationship too:





http://ift.tt/1oZ3Zsk





So arise a question in my mind: if a polynomial can be a generalized format like:

##ax^2+bx+c##

##ax^3+bx^2+cx+d##

##ax^4+bx^3+cx^2+dx+e##



so can the solution have a generalized format too?

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