Lesson Plan
Curated OER

Watch Your P's and Q's

For Teachers 9th - 12th Standards
Using your graphing calculator, find all the rational zeroes of a polynomials by using the Rational Zero Theorem. Divide polynomials using the Remainder Theorem and the Factor Theorem and then graph it to find the number of real roots.
Worksheet
Curated OER

Rational Zero Theorem

For Students 11th
In this rational zero theorem worksheet, 11th graders solve and complete 7 different problems. First, they list all of the possible rational zeros of each function. Then, students find all of the rational roots of each function. Finally,...
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Rational Root Theorem

For Students 9th - 10th
This question answer site gives two responses to a question about the Rational Root Theorem, also known as The Rational Zero Theorem. The first response solves a couple of problems through applying the theorem. The second response...
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Rational Zero Theorem

For Students 9th - 10th Standards
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...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Rational Zeros and the Fundamental Theorem of Algebra

For Students 9th - 10th Standards
Twenty-four problems present a variety of practice applying the Rational Zeros Theorem and The Fundamental Theorem of Algebra in different situations. They are given with each step to the solution cleverly revealed one at a time. You can...
Activity
Help Algebra

Help algebra.com: Examples of Polynomial Equations

For Students 9th - 10th Standards
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.
Activity
National Council of Teachers of Mathematics

The Math Forum: Drexel University: Example With Rational Root Theorem

For Students 9th - 10th Standards
This site from Drexel University solves a problem of finding the rational roots of a polynomial using the rational roots theorem, also known as the rational zero theorem.
Handout
Purple Math

Purplemath: The Rational Roots Test

For Students 9th - 10th Standards
Demonstrates how to use the Rational Roots Test to list possible fractional solutions for polynomials.