Paul Dawkins
Paul's Online Notes: Algebra: Zeroes/roots of Polynomials
Learn about the root or zero of a polynomial with this reference guide. Includes definitions, step-by-step instructions on how to find all the zeroes for a given polynomial, and multiple examples. Also included is a description of The...
Khan Academy
Khan Academy: Even & Odd Polynomials
Given the formula of a polynomial function, determine whether that function is even, odd, or neither. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Interactive Mathematics
Interactive Mathematics: The Remainder and the Factor Theorem
This tutorial contains a lesson about the remainder and factor theorems along with practice problems.
Cool Math
Coolmath: Polynomial Long Division Freaky Things That Can Happen Part 2
This CoolMath resource will help students understand how to apply long division to polynomials.
Cool Math
Coolmath: Polynomials Long Division Freaky Things That Can Happen Part 1
This CoolMath resource will help students understand how to apply long division to polynomials.
CK-12 Foundation
Ck 12: Algebra Ii: 11.12 Remainder Theorem
This lesson explores polynomial division with remainders, and the important relationship between a polynomial's remainders and its solutions.
CK-12 Foundation
Ck 12: Algebra Ii: 1.11 Dividing Polynomials
There are a variety of methods that can be used to divide polynomials. This section will explore the process of using a couple of these methods, as well as when to use one versus another and why.
Khan Academy
Khan Academy: The Quotient Remainder Theorem
The Quotient Remainder Theorem is explained.
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.
Curated OER
Real Roots of Polynomial Functions
A thorough abstract treatment of how to find the roots of a polynomial function. The site explains how to divide polynomials and the remainder theorem. The language is a bit technical, but the examples are good.
Curated OER
Synthetic Division
A step-by-step example problem and explanation of synthetic division is provided.
Math Notes and Math Tests
Pre Calculus Notes: Long and Synthetic Polynomial Division [Pdf]
A college professor's detailed notes show how to divide polynomials based on the method for dividing integers.
Washington State University
Washington State University: Long Polynomial Division
This site contains a detailed example of long division of polynomials.
Windstream
Ojk's Precalculus Study Page: Remainder and Factor Theorems
An introduction to two important uses of synthetic substitution, the remainder theorem and the factor theorem. Includes examples and sample problems with solutions.
Windstream
Ojk's Precalculus Study Page: Solving Polynomial Equations
A comprehensive look at the three main ways to find the roots of a polynomial: factoring, formulas, and the rational root theorem.
Wolfram Research
Wolfram Math World: Polynomial
Mathworld.com contains a brief lesson on polynomials. This site explains what it means to be a polynomial in technical terms, gives identities for several special polynomials, and numerous links to related topics and terminology.
Sophia Learning
Sophia: Evaluating Polynomials With the Remainder Theorem: Lesson 3
This lesson shows how the Remainder Theorem can be used to evaluate a polynomial for a given x value. It is 3 of 6 in the series titled "Evaluating Polynomials With The Remainder Theorem."
Sophia Learning
Sophia: Evaluating Polynomials With the Remainder Theorem: Lesson 4
This lesson shows how the Remainder Theorem can be used to evaluate a polynomial for a given x value. It is 4 of 6 in the series titled "Evaluating Polynomials With The Remainder Theorem."
Sophia Learning
Sophia: Evaluating Polynomials With the Remainder Theorem: Lesson 6
This lesson shows how the Remainder Theorem can be used to evaluate a polynomial for a given x value. It is 6 of 6 in the series titled "Evaluating Polynomials With The Remainder Theorem."
Sophia Learning
Sophia: Finding a Polynomial Passing Through a Point: Lesson 2
This lesson uses the linear factorization theorem to find a particular function polynomial passing through a point given the zeros of that function. It is 2 of 7 in the series titled "Finding A Polynomial Passing Through A Point."
Sophia Learning
Sophia: Finding a Polynomial Passing Through a Point: Lesson 4
This lesson uses the linear factorization theorem to find a particular function polynomial passing through a point given the zeros of that function. It is 4 of 7 in the series titled "Finding A Polynomial Passing Through A Point."
Sophia Learning
Sophia: Finding a Polynomial Passing Through a Point: Lesson 7
This lesson uses the linear factorization theorem to find a particular function polynomial passing through a point given the zeros of that function. It is 7 of 7 in the series titled "Finding A Polynomial Passing Through A Point."
Sophia Learning
Sophia: Finding Roots With the Remainder Theorem: Lesson 3
This lesson uses the remainder theorem to determine whether a given value of x is a root of a given polynomial. It is 3 of 5 in the series titled "Finding Roots With The Remainder Theorem."
Interactive Mathematics
Interactive Mathematics: Polynomial Functions and Equations
Want to find the roots of a polynomial function? Learn how, using several methods in this tutorial. Graphing and Scientific Notebook are used on the main page. Click on the "Dinosaur Method" link at the bottom of the page to see the...