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
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
Theory of Polynomials
In this polynomial worksheet provides extra practice the Factor and Remainder Theorems. They identify factors of given linear expressions. This two-page worksheet contains 19 problems. The answers are provided on the second page.
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...
Flipped Math
Remainder Theorem
Don't divide! Pupils view three examples relating the remainder of a polynomial division and the polynomial function evaluated at a related value. Learners notice how to find a missing coefficient in a polynomial given the remainder of a...
Illustrative Mathematics
The Missing Coefficient
This activity highlights the use of the remainder theorem to solve for the unknown coefficient of a specified polynomial when given one of its factors. Use this single problem as a warm-up exercise, a quick check-in at the end of a...
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
West Contra Costa Unified School District
Polynomial Division
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II activity that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
Curated OER
Fundamental Theorem of Algebra
In this worksheet, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations.
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...
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...
West Contra Costa Unified School District
Polynomial Division
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
Flipped Math
Unit 2 Review: Polynomial Functions
Wrap it all up in a box. Pupils review the key concepts from an Algebra 2 polynomial functions unit by working 19 problems. Problems range from using the Remainder Theorem to find remainders and finding factors; sketching graphs by...
Curated OER
Math Honors 2: Semester 1 Review
In this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
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.
Mathematics Assessment Project
Arithmetic with Polynomials and Rational Expressions
It all starts with arithmetic. An educational resource provides four items to use in summative assessments. The items reflect the basic skill level required by the standards in the domain and are designed to have...
Varsity Tutors
Varsity Tutors: Hotmath: Polynomial Division: The Remainder and Factor Theorems
Thirty-nine problems present a variety of practice applying the remainder and factor theorems to polynomial division.