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Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root 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...
Illustrative Mathematics
Zeroes and factorization of a non polynomial function
Functions behaving badly: the squaring function and the absolute value function are both zero at x=0. Yet when you divide each by x, different things happen. Here, your class will explore each scenario as a means to adding depth to their...
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...
PBL Pathways
Cell Phones
Calling all subscribers! Model revenue based on individual cell phone subscribers. The project-based learning activity presents a challenge to scholars from a cell phone company. Individuals model data provided to them from the company...
Illustrative Mathematics
Combined Fuel Efficiency
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Dividing Polynomials
Find a quick, concise explanation of how to divide polynomials. Several examples are given and clearly explained.
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...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Long Division of Polynomials
This site is a help letter from a student asking how to divide polynomials. The response to this e-mail also discusses factoring as a method for doing the division.
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...
Purple Math
Purplemath: Polynomial Division: Simplification and Reduction
Demonstrates, step-by-step and with worked examples, how to do long division of polynomials.
Math Is Fun
Math Is Fun: Dividing Polynomials
The algebra concept of dividing polynomials is examined in this learning resource. The notes consist of detailed video explanations.
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.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Long Division of Polynomials
Question and Answer session on long division of polynomials involving remainders. See how this problem was solved.
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.
Purple Math
Purplemath: Synthetic Division: The Process
This lesson compares synthetic division with long division, and demonstrates how to use synthetic division.
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.
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 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.
Oswego City School District
Regents Exam Prep Center: Dividing a Polynomial by a Monomial or Binomial
Dividing polynomials by monomials or binomials is made easy with a teacher lesson explanation, a practice activity for the student, and a hands-on cryptic cube activity for reinforcing the lesson.
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.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Dividing Polynomials
Math Forum offers an example of how to simplify a complex rational expression by factoring.
Washington State University
Washington State University: Long Polynomial Division
This site contains a detailed example of long division of polynomials.
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