Math Planet
Math Planet: Polynomials
Provides examples and a video lesson that illustrate how to multiply and divide polynomials.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Dividing Polynomials
Fifteen problems present a variety of problems dividing polynomials. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check each...
Paul Dawkins
Paul's Online Notes: Algebra: Polynomial Functions
Students investigate how to sketch and find solutions to higher degree polynomials. Topics explored are dividing polynomials, roots of polynomials, graphing polynomials, and finding zeroes of polynomials. Class notes, definitions, and...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Long Division
You will learn how to divide one polynomial by another using long division by viewing example problems and step-by-step solutions and completing practice questions.
Other
Math Help Algebra Synthetic Division
Works through a step-by-step example that gives a good explanation of how to do synthetic division. Also provides other example problems.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Synthetic Division
This Math Forum site describes a general method for synthetic division by comparing it to the long division process.
Purple Math
Purplemath: Synthetic Division: The Process
This lesson compares synthetic division with long division, and demonstrates how to use synthetic division.
Alabama Learning Exchange
Alex: Conquering Polynomials
In this activity, students will be introduced to polynomials. A polynomial is a made up of terms, which are algebraic expressions combined by addition or subtraction. In a polynomial, there is no expressions that involve dividing by the...
Homeschool Math
Homeschool Math: Long Division With Remainder
This fourth-grade complete lesson with instruction and exercises concerns long division with remainder. Students work on division problems and word problems and check their answers.
Help Algebra
Algebra Help: Operations With Polynomials
This article gives an overview for adding, subtracting, multiplying, and dividing polynomials. Examples are given, but more importantly, they are accompanied with explanations of why the process worked.
University of Saskatchewan (Canada)
University of Saskatchewan: Polynomials and Roots
This site, which is given by the University of Saskatchewan, provides a general overview of polynomials and roots. Examples and exercises are included.
Help Algebra
Help algebra.com: Synthetic Division
Synthetic division is thoroughly explained using long division as a starting point. The examples are very detailed and provide the steps necessary for completing the process of synthetic division.
Khan Academy
Khan Academy: Divide Polynomials With Remainders
Rewrite rational expressions of the form a(x)/b(x), where a(x) and b(x) are polynomials, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students receive immediate...
Khan Academy
Khan Academy: Divide Polynomials by Monomials (With Remainders)
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a monomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students...
Khan Academy
Khan Academy: Algebra Ii: Divide Polynomials by Linear Expressions
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a linear binomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x)....
Math Is Fun
Math Is Fun: Polynomials: Long Division
The learning resource investigates how to use long division to divide polynomials. Students learn about the algebra concept through definitions, examples, and video tutorials.
Interactive Mathematics
Interactive Mathematics: Division of Algebraic Expressions
Dividing algebraic expressions is demonstrated with several examples. Methods as simple as using reciprocals are shown, as well as using long division to divide polynomial expressions.
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.
Discovery Education
Discovery Education: Web Math: Divide Two Polynomials
This WebMath site will tell you the answer to the division of two polynomials. Great for checking your answers.
Other
Georgia Perimeter College: Polynomials
This resource covers the laws of exponents and operations with polynomials, including FOIL and long division.
Purple Math
Purplemath: Solving Polynomials: How To
Demonstrates the steps involved in solving a general polynomial, including how to use the Rational Roots Test and synthetic division. Points out when using a graphing calculator can be very helpful.
Purple Math
Purplemath: Factoring Polynomials: How To
Demonstrates the steps involved in factoring a general polynomial, including using the Rational Roots Test and synthetic division. Shows how to "cheat" with a graphing calculator.
Curated OER
Synthetic Division
A step-by-step example problem and explanation of synthetic division is provided.
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.
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