Polynomial Formulas

There are formulas for solving any power of polynomial, for example to
solve ax^2+bx+c, you can use the Quadratic formula. There is also a
(much longer) cubic formula, quartic formula, sextic formula, etc. So
you would expect that it would be possible to create a series
describing the formula for an nth power polynomial. In Mathematica,
you can find the formula for a polynomial of any power like this:
Solve[a x^4+b x^3+c x+d==0,x]
But when I tried to use a series to describe an nth power polynomial,
Mathematica couldn't come up with a formula. I'm guessing that it
would be possible to derive such a formula using Taylor's series, but I
don't know how. Does such a formula exist?

.

Relevant Pages

  • Re: Polynomial Formulas
    ... >There are formulas for solving any power of polynomial, ... you can use the Quadratic formula. ... >cubic formula, quartic formula, sextic formula, etc. ...
    (sci.math)
  • Re: Polynomial Formulas
    ... you can use the Quadratic formula. ... >cubic formula, quartic formula, sextic formula, etc. So ... >describing the formula for an nth power polynomial. ... >Mathematica couldn't come up with a formula. ...
    (sci.math)
  • Re: Polynomial Formulas
    ... >who originally gave me the idea of finding a formula for polynomials of ... as your friend ignorantly claims ... have you tried the fifth power in mathematica? ... >Because if mathematica cannot do it, then I should see what I could do ...
    (sci.math)
  • Re: Polynomial Formulas
    ... >that page links to information about a formula for 5th and 6th power ... you can create _formulas_ all right; for example the roots of ... you can write down with them are sort of simplish (in a technical sense) ... Your version of Mathematica probably has BesselFunction and ...
    (sci.math)
  • Re: Polynomial Formulas
    ... Mathematica. ... But I saw this on Wolframs site: ... that page links to information about a formula for 5th and 6th power ... Prev by Date: ...
    (sci.math)
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