Okay, this is related to a question of Quick's. I am proud to say that I was able to work backwards and reconstruct how and why Cardano's method for solving a general cubic works (so I no longer have to have that pesky formula memorized).
I have the solution to a general quartic polynomial, but I haven't been able to work that one backwards to figure out how it works. Would anyone be willing to show me the method of how to solve a general quartic?
(If it's too long to write out I'll understand! )
(And if it depends directly on Galois theory, please forget that I asked because I'll never understand it! )