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# Polynomial Formulae watch

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1. The quadratic formula is easy enough to derive by completing the square and re-arranging; the formula for solving cubic equations is about 2 lines long and infinitely more complex.

Has a formula for polynomials of degree 4 been found?

...even 5/6 ever been explored?

...
2. There are general formulae for polynomials of order 3 and 4, but there doesnt exist general fomulae for polynomials of higher order.
3. (Original post by JamesF)
There are general formulae for polynomials of order 3 and 4, but there doesnt exist general fomulae for polynomials of higher order.
Why not? I thought there would be a pattern or some link between the formulae.
4. (Original post by Invisible)
Why not? I thought there would be a pattern or some link between the formulae.
The reasons are a bit hard to understand. If you're interested, you might want to have a look at this for an overview of the theory.
5. (Original post by JamesF)
The reasons are a bit hard to understand. If you're interested, you might want to have a look at this for an overview of the theory.
This should come with a health warning, it's very hard work

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