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 factors.
Curated OER
The Remainder Theorem Using TI-Nspire CAS
Investigate the Remainder Theorem in this algebra lesson. Explore the relationship between the remainders of polynomial division and the function. Each of the four problems gets progressively more complicated. This might be a great...
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson plan introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
West Contra Costa Unified School District
Polynomial Division
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
Curated OER
Dividing Polynomials
In this Algebra II/college level worksheet, students use long and synthetic division to divide polynomials and use the Factor Theorem to show that a given polynomial is a factor of a polynomial function. The two page worksheet contains...
Curated OER
Synthetic Division
In this worksheet, students use synthetic division to determine the quotient of polynomials. This three-page worksheet contains 30 problems.
Curated OER
The Remainder Theorem
In this algebra worksheet provides extra practice on using the Remainder Theorem to find a factor of a higher degree polynomial. It provides a good review of synthetic division. There are 22 problems with an answer key.
Curated OER
Exercise Set 3.3: Dividing Polynomials
In this dividing polynomials worksheet, students divide 42 polynomials. Students factor polynomials using synthetic division and long division.
Curated OER
Synthetic Division
In this algebra worksheet, learners use synthetic division to divide polynomials and use the Remainder Theorem to evaluate the functions at the given value. The one page worksheet contains eleven problems. Answers are included.
Curated OER
Roots of Polynomial Functions
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page...
Curated OER
Synthetic Division Review
In this synthetic division worksheet, learners use synthetic division to divide a binomial. Explanations and examples are provided. This three-page worksheet contains ten problems, with answers.
Curated OER
More on Factors, Zeros, and Dividing
Students explore the concept of finding zeros of polynomials. In this finding zeros of polynomials activity, students find the zeros of polynomials given one zero. Students factor and find all the zeros of 18 polynomials.
Curated OER
The Remainder and Factor Theorems
In this remainder and factor theorems worksheet, 11th graders solve and complete 10 different problems. First, they divide using synthetic division and write their answer in the form given. Then, students use synthetic division to find...
Curated OER
Topic: Dividing Polynomials
In this polynomials activity, students use Synthetic division or long division to find the quotient of each polynomial. There are 10 problems to solve.
Curated OER
Topic 5.3 - Dividing Polynomials
In this polynomial worksheet, students simplify 6 polynomial expressions. They are instructed to use synthetic division to find the quotient of the next 4 expressions.
Curated OER
Theory of Polynomials
In this theory of polynomials worksheet, students solve nine problems total related to polynomials. In this first part, they use synthetic division to find the quotient, and the remainder if there is a dividend and a divisor. In the...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.
Other
Math Centre: Cubic Equations [Pdf]
This resource explains what the features of cubic equations are and how to solve them algebraically and by graphing them. Includes practice exercises with answers provided.
Paul Dawkins
Paul's Online Notes: Algebra: Dividing Polynomials
Detailed math tutorial features notes and examples that take a look at the basics dividing polynomials, introduces synthetic division, and gives the Division Algorithm.
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.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Synthetic Division
This tutorial will show you how to use synthetic division and how to use both the remainder and factor theorems in conjunction with synthetic division. Offers several examples with solutions and explanations as well as practice problems...
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.
McGraw Hill
Glencoe Mathematics: Quiz on the Remainder and Factor Theorems
The online assessment demonstrates knowledge of advanced mathematical concepts in Algebra II. The questions test students on the remainder and factor theorems.
CK-12 Foundation
Ck 12: Algebra: Exponential Terms Raised to an Exponent
[Free Registration/Login may be required to access all resource tools.] This lesson covers the power properties of exponents.