Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
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...
Activity
Illustrative Mathematics

Zeroes and factorization of a non polynomial function

For Teachers 10th - 12th Standards
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...
Activity
1
1
Illustrative Mathematics

Combined Fuel Efficiency

For Teachers 8th - 11th Standards
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...
Activity
Illustrative Mathematics

Zeroes and Factorization of a General Polynomial

For Teachers 10th - 12th Standards
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...
Lesson Plan
1
1
Illustrative Mathematics

The Missing Coefficient

For Teachers 10th - 12th Standards
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...
Activity
PBL Pathways

Cell Phones

For Teachers 10th - Higher Ed Standards
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...
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Long Division of Polynomials

For Students 9th - 10th Standards
Question and Answer session on long division of polynomials involving remainders. See how this problem was solved.
Activity
Cool Math

Coolmath: Division of Polynomials Long Division

For Students 6th - 9th Standards
Use long division to divide polynomials.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Long Division of Polynomials

For Students 9th - 10th Standards
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.
Activity
Washington State University

Washington State University: Long Polynomial Division

For Students 9th - 10th Standards
This site contains a detailed example of long division of polynomials.
Activity
Purple Math

Purplemath: Polynomial Division: Simplification and Reduction

For Students 9th - 10th Standards
Demonstrates, step-by-step and with worked examples, how to do long division of polynomials.
Activity
Cool Math

Coolmath: Dividing by Monomials

For Students 6th - 9th Standards
This algebra lesson explains how to divide a polynomial by a monomial.
Activity
Paul Dawkins

Paul's Online Notes: Algebra: Polynomial Functions

For Students 9th - 10th Standards
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...
Activity
Oswego City School District

Regents Exam Prep Center: Dividing a Polynomial by a Monomial or Binomial

For Teachers 9th - 10th Standards
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.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Polynomials and Roots

For Students 9th - 10th
This site, which is given by the University of Saskatchewan, provides a general overview of polynomials and roots. Examples and exercises are included.
Activity
Math Medics

S.o.s. Math: Algebra

For Students 9th - 10th Standards
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Dividing Polynomials

For Students 9th - 10th Standards
Find a quick, concise explanation of how to divide polynomials. Several examples are given and clearly explained.
Activity
Interactive Mathematics

Interactive Mathematics: Division of Algebraic Expressions

For Students 9th - 10th Standards
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.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Dividing Polynomials

For Students 9th - 10th
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...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions

For Students 9th - 10th Standards
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.
Activity
Help Algebra

Help algebra.com: Examples of Polynomial Equations

For Students 9th - 10th Standards
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.
Activity
Discovery Education

Discovery Education: Web Math: Divide Two Polynomials

For Students 9th - 10th Standards
This WebMath site will tell you the answer to the division of two polynomials. Great for checking your answers.
Activity
Other

Math Help Algebra Synthetic Division

For Students 9th - 10th Standards
Works through a step-by-step example that gives a good explanation of how to do synthetic division. Also provides other example problems.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Rational Zeros and the Fundamental Theorem of Algebra

For Students 9th - 10th Standards
Twenty-four problems present a variety of practice applying the Rational Zeros Theorem and The Fundamental Theorem of Algebra in different situations. They are given with each step to the solution cleverly revealed one at a time. You can...

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