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

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SUMMARY

This discussion focuses on finding the roots of a fourth-order polynomial (quartic) using online tools and calculators. Users recommend resources such as The Math Page and PlanetMath for understanding the quartic formula. Additionally, the TI-86 calculator is suggested for quickly approximating the roots. However, it is noted that the formulas for solving quartic equations can be complex and unwieldy, making them impractical for manual calculations.

PREREQUISITES
  • Understanding of polynomial equations, specifically fourth-order polynomials.
  • Familiarity with the quartic formula and its historical context.
  • Basic knowledge of using scientific calculators, such as the TI-86.
  • Awareness of online mathematical resources and tools for polynomial analysis.
NEXT STEPS
  • Research the quartic formula in detail, including its derivation and applications.
  • Explore advanced polynomial root-finding algorithms, such as Durand-Kerner or Newton's method.
  • Learn how to use the TI-86 calculator for polynomial root approximation.
  • Investigate other online tools for polynomial analysis, such as Wolfram Alpha.
USEFUL FOR

Students, mathematicians, and educators seeking efficient methods for solving fourth-order polynomial equations and understanding their properties.

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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