ElI5: Why isn’t there an equation to solve 5-factor polynomials?

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There’s the quadratic formula and the one for 3 and 4 factor ones (apologies if I’m wording this wrong), but I just heard that apparently there isn’t anything like a quintic(?) formula and so on. Why is this?? Googling gives me a bunch of confusing terminology that’s difficult to parse.

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Anonymous 0 Comments

There is a formula. You can use long division to factor any length polynomial into 2 and 3 term factors. From there the roots can be determined using the quadratic formula. This is a trial and error method tho, so generally using a computer or plotting a graph is easier.

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