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Descartes' Rule of Signs

Free printable Precalculus math worksheet for "Descartes' Rule of Signs" — practice polynomial functions. No-prep, print or assign online.

Descartes' Rule of Signs — free printable Precalculus math worksheetOpen in KiwiBee to download

This worksheet provides challenging problems focused on applying Descartes' Rule of Signs to polynomial functions. Teachers can use it to reinforce students' understanding of zero behavior and sign variation in polynomials, enhancing skills in polynomial analysis and graphing. It supports advanced precalculus lessons by offering practice in predicting the number of positive and negative roots through sign change evaluation.

Math
Algebra & Functions
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Analyze polynomial functions to determine the number of positive real zeros using Descartes' Rule of Signs
  • Evaluate polynomial functions to estimate the number of negative real zeros by applying Descartes' Rule of Signs
  • Interpret sign changes in polynomial coefficients to predict possible zero counts and guide graphing strategies

How to use this worksheet

  1. Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Hand it out as classwork, homework, or a quick warm-up.

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