Find the Roots of Your Order 4 Polynom - Get Instant Results!

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Discussion Overview

The discussion revolves around finding the roots of a fourth-order polynomial (quartic polynomial) using online resources or calculators. Participants explore various tools and methods available for this purpose, including specific websites and calculators.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant inquires about websites that can provide all four roots of a quartic polynomial given its coefficients.
  • Another participant suggests a specific website that may assist in finding the roots.
  • A different participant references the quartic formula, indicating its historical discovery in the 1500s and suggests that resources like Wolfram may have relevant information.
  • One participant provides a link to a page that discusses the quartic formula.
  • Another participant mentions the use of a calculator, specifically the TI-86, for approximating roots quickly, while also noting the impracticality of using the quartic formula for solving equations by radicals due to its complexity.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single best method or resource for finding the roots, and multiple suggestions and viewpoints are presented.

Contextual Notes

Some participants express concerns about the complexity of the quartic formula and its practical application, indicating limitations in using it for solving quartic equations.

yetar
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Is there a website that given the coefficients of a order 4 polynom, it will give me all 4 roots of this polynom?

Thanks.
 
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yetar said:
Is there a website that given the coefficients of a order 4 polynom, it will give me all 4 roots of this polynom?

Thanks.

Hope this helps: http://www.themathpage.com/aPreCalc/factor-theorem.htm" .
 
Last edited by a moderator:
you are looking for the quartic formula, discovered in the 1500s. surely it is out there, perhaps on wolfram.
 
here you go:

http://planetmath.org/encyclopedia/QuarticFormula.html
 
Last edited by a moderator:
Well, if you want to use a calculator, like the TI-86, it will find an approximation of the roots fast...Maybe that is what you mean.

As for the entry given on PlanetMath.Org, I note at the bottom of that page the "disclaimer": The formulas for the roots are much too unwieldy to be used for solving quartic equations by radicals, even with the help of a computer.
 

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