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Complex Systems and Polynomial Functions · Weeks 1-9

Descartes' Rule of Signs

Students will apply Descartes' Rule of Signs to determine the possible number of positive and negative real roots of a polynomial.

Key Questions

  1. Analyze how sign changes in a polynomial's coefficients relate to its positive real roots.
  2. Predict the possible number of negative real roots using Descartes' Rule of Signs.
  3. Justify the usefulness of this rule in narrowing down the search for real roots.

Common Core State Standards

Grade: 11th Grade
Subject: Mathematics
Unit: Complex Systems and Polynomial Functions
Period: Weeks 1-9

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