Curated OER
Descarte's Rule of Signs
In this algebra worksheet, students identify the number of positive and negative zeros for each given function. There are 21 function problems to be solved.
Curated OER
Worksheet 8, Exponents
In this calculus worksheet, students analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Students solve...
Mt. San Antonio Collage
Synthetic Division and Zeros of Polynomial Functions
More than just a worksheet, this guide provides the description of many of the polynomials theorems to assist the learners. Starting with synthetic division, class members are then guided through the remainder theorem and linear...
Curated OER
Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
Purple Math
Purplemath: Descartes' Rule of Signs
Purplemath provides examples that helps explain Descartes' rule of signs, which will help you find the zeros of a polynomial.
Math Planet
Math Planet: Algebra 2: Polynomial Functions: Descartes' Rule of Sign
Provides detailed information about Descartes' rule of sign through the use of examples.
Other
Brown Math: Solving Polynomial Equations
The many facets of factoring polynomials and solving polynomial equations are explained here in great detail. Taking students from basic definitions through the Descartes Rule of Signs, this is a valuable tool for math classes.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Rational Zero Theorem
This tutorial will show you how to use the rational zero theorem, to find all zeros of a polynomial function, and how to use Descartes' rule of signs. Offers step-by-step solutions to example problems as well as practice problems for you...
Help Algebra
Help algebra.com: Examples of Polynomial Equations
To solve polynomials of higher degree, use synthetic division as demonstrated here. The Rational Zero Theorem, Upper and Lower Bound Theorem, and Descartes Rule of Signs are explained.
Richland Community College
Real Zeros of Polynomial Functions
This site from the Richland Community College contains information on long and synthetic division, the remainder theorem and the factor theorem.
Wolfram Research
Wolfram Math World: Descartes' Sign Rule
This page gives a good overview of Descartes' Sign Rule, a "method of determining the maximum number of positive and negative real roots of a polynomial."