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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.
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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,...
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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...
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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...
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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...
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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.
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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.
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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.