Need help plotting a 4th order polynomial

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Homework Help Overview

The discussion revolves around plotting a fourth-order polynomial equation, specifically involving the equation 24.059025x^4 + 94.98287069x^3 + 44.56696001x^2 - 827.1103204x = -1067.832496. The original poster expresses difficulty with synthetic division and seeks assistance in obtaining precise x values for an engineering-related problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants suggest using online tools like Wolfram Alpha and spreadsheet software for graphing. The original poster mentions challenges with synthetic division and expresses concern over potential algebraic mistakes in their calculations.

Discussion Status

Some participants have offered suggestions for tools that could assist in graphing the polynomial. There is an acknowledgment of the complexity of the problem, with one participant indicating that there may be no real solution, which has led to further questioning of the calculations involved.

Contextual Notes

The original poster notes the importance of precision in the x values due to the engineering context of the problem. There is a mention of prior calculations and the potential for errors in algebra that could affect the outcome.

david martin
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I need help from someone with a graphing calculator. My little brother lost my graphing calculator and synthetic division I can't make work becasue the terms aren't exactly friendly. The equation is,

24.059025x^4 + 94.98287069x^3 + 44.56696001x^2 - 827.1103204x = -1067.832496

The more precise the x value the better, since it is a engineering type problem.

Thanks,
 
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david martin said:
I need help from someone with a graphing calculator. My little brother lost my graphing calculator and synthetic division I can't make work becasue the terms aren't exactly friendly. The equation is,

24.059025x^4 + 94.98287069x^3 + 44.56696001x^2 - 827.1103204x = -1067.832496

The more precise the x value the better, since it is a engineering type problem.

Thanks,

If you have access to a spreadsheet you can use that.

RGV
 
Good news. There's no real solution.
 
SammyS said:
Good news. There's no real solution.

Thats bad news. I worked through two full pages of nasty algebra to get it to a simplified polynomial state, not to mention the four previous pages of prior calculations. Maybe I made a simple algebra mistake. I'm dreading having to go back and waste more time on this problem.

Thanks Ray for the spread sheet suggestion. I always knew excel could work with polynomials but never used it. This problem forced me to learn how to use it, very powerful tool. Excel gave me a value but not anything close to what I had expected.

Thanks again for eveyones help
 

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