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Descartes' Rule of Signs — free printable Precalculus math worksheet

Descartes' Rule of Signs

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

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” to get the PDF — free with a KiwiBee account (up to 25 downloads a month).
  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.

Frequently asked questions

Is the “Descartes' Rule of Signs” worksheet free?

Yes. “Descartes' Rule of Signs” is a free printable Math worksheet. Sign in with a free KiwiBee account to download the PDF — it includes up to 25 downloads a month.

What grade or age is this Math worksheet for?

It's designed for High School (ages 14–18), covering Polynomial functions.

Do I need to prep anything?

No. It's a no-prep, print-and-go worksheet — just download and hand it out.

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