What are Vieta's Formulas in Polynomial Functions?

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    Function Polynomial
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Discussion Overview

The discussion revolves around Vieta's formulas in the context of polynomial functions, exploring their definitions, applications, and methods of use. Participants engage with the concept in a somewhat informal manner, with references to problem-solving techniques involving polynomial roots.

Discussion Character

  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants suggest using Vieta's formulas as a method to solve polynomial equations.
  • Others express uncertainty about the formulas, asking for clarification on what they are.
  • One participant mentions alternative methods for solving the problem, including finding roots directly or expanding a polynomial expression.
  • A participant notes that Vieta's formulas relate the roots of a polynomial to its coefficients, referencing external sources for further information.

Areas of Agreement / Disagreement

There is no clear consensus on the understanding or application of Vieta's formulas, with multiple participants expressing confusion and seeking clarification. Various methods for approaching the problem are mentioned, indicating differing viewpoints.

Contextual Notes

Some participants appear to lack familiarity with Vieta's formulas, leading to questions about their definition and application. The discussion includes informal language and references to external sources for definitions.

Who May Find This Useful

This discussion may be useful for students or individuals seeking to understand Vieta's formulas and their application in solving polynomial equations, as well as those interested in different problem-solving strategies in mathematics.

mathland
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I say the answer is A.

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Did you check it? Did the roots come out? (They don't.)

There are three ways to do this one.
1) Cheat and find the roots of all your possible answers.

2) Use the Vieta formulas.

3) Write out [math](x - 1) \left ( x - \dfrac{1}{ \alpha } \right ) = 0[/math] and expand.

-Dan
 
topsquark said:
Did you check it? Did the roots come out? (They don't.)

There are three ways to do this one.
1) Cheat and find the roots of all your possible answers.

2) Use the Vieta formulas.

3) Write out [math](x - 1) \left ( x - \dfrac{1}{ \alpha } \right ) = 0[/math] and expand.

-Dan

No. I did not check it. What is the Vieta formulas?
 
Beer soaked ramblings follow.
mathland said:
No. I did not check it. What is the Vieta formulas?
Translation: I don't know man. That sounds like a lot of work!
 
mathland said:
No. I did not check it. What is the Vieta formulas?

Vieta's formulas are equations that connect some expressions of the roots of a polynomial equation to its coefficients. (See e.g. wikipedia)
 
Theia said:
Vieta's formulas are equations that connect some expressions of the roots of a polynomial equation to its coefficients. (See e.g. wikipedia)

I'll need to look that up.
 

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