math.answers.com/math-and-arithmetic/How_did_Rene_Descartes_discovered_the_rule_of_signs

Preview meta tags from the math.answers.com website.

Linked Hostnames

9

Thumbnail

Search Engine Appearance

Google

https://math.answers.com/math-and-arithmetic/How_did_Rene_Descartes_discovered_the_rule_of_signs

How did Rene Descartes discovered the rule of signs? - Answers

René Descartes discovered the rule of signs while exploring the relationships between the coefficients of polynomials and their roots. In his work, "La Géométrie," he analyzed how the signs of the coefficients in a polynomial equation could indicate the number of positive and negative roots. This insight led to the formulation of the rule of signs, which states that the number of positive roots of a polynomial is either equal to the number of sign changes between consecutive coefficients or less than it by an even number. Descartes' approach combined algebraic analysis with geometric interpretation, marking a significant advancement in the study of polynomials.



Bing

How did Rene Descartes discovered the rule of signs? - Answers

https://math.answers.com/math-and-arithmetic/How_did_Rene_Descartes_discovered_the_rule_of_signs

René Descartes discovered the rule of signs while exploring the relationships between the coefficients of polynomials and their roots. In his work, "La Géométrie," he analyzed how the signs of the coefficients in a polynomial equation could indicate the number of positive and negative roots. This insight led to the formulation of the rule of signs, which states that the number of positive roots of a polynomial is either equal to the number of sign changes between consecutive coefficients or less than it by an even number. Descartes' approach combined algebraic analysis with geometric interpretation, marking a significant advancement in the study of polynomials.



DuckDuckGo

https://math.answers.com/math-and-arithmetic/How_did_Rene_Descartes_discovered_the_rule_of_signs

How did Rene Descartes discovered the rule of signs? - Answers

René Descartes discovered the rule of signs while exploring the relationships between the coefficients of polynomials and their roots. In his work, "La Géométrie," he analyzed how the signs of the coefficients in a polynomial equation could indicate the number of positive and negative roots. This insight led to the formulation of the rule of signs, which states that the number of positive roots of a polynomial is either equal to the number of sign changes between consecutive coefficients or less than it by an even number. Descartes' approach combined algebraic analysis with geometric interpretation, marking a significant advancement in the study of polynomials.

  • General Meta Tags

    22
    • title
      How did Rene Descartes discovered the rule of signs? - Answers
    • charset
      utf-8
    • Content-Type
      text/html; charset=utf-8
    • viewport
      minimum-scale=1, initial-scale=1, width=device-width, shrink-to-fit=no
    • X-UA-Compatible
      IE=edge,chrome=1
  • Open Graph Meta Tags

    7
    • og:image
      https://st.answers.com/html_test_assets/Answers_Blue.jpeg
    • og:image:width
      900
    • og:image:height
      900
    • og:site_name
      Answers
    • og:description
      René Descartes discovered the rule of signs while exploring the relationships between the coefficients of polynomials and their roots. In his work, "La Géométrie," he analyzed how the signs of the coefficients in a polynomial equation could indicate the number of positive and negative roots. This insight led to the formulation of the rule of signs, which states that the number of positive roots of a polynomial is either equal to the number of sign changes between consecutive coefficients or less than it by an even number. Descartes' approach combined algebraic analysis with geometric interpretation, marking a significant advancement in the study of polynomials.
  • Twitter Meta Tags

    1
    • twitter:card
      summary_large_image
  • Link Tags

    16
    • alternate
      https://www.answers.com/feed.rss
    • apple-touch-icon
      /icons/180x180.png
    • canonical
      https://math.answers.com/math-and-arithmetic/How_did_Rene_Descartes_discovered_the_rule_of_signs
    • icon
      /favicon.svg
    • icon
      /icons/16x16.png

Links

58