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Lesson Plan
Alabama Learning Exchange

Alex: Polynomials Divided by Monomials

For Teachers 9th - 10th
Investigation of division of polynomials by mononials. This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
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Activity
Homeschool Math

Homeschool Math: Long Division With Remainder

For Teachers 4th - 5th
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.
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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.
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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.
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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.
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Activity
Help Algebra

Algebra Help: Operations With Polynomials

For Students 9th - 10th Standards
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.
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Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Dividing Polynomials

For Students 9th - 10th
Math Forum offers an example of how to simplify a complex rational expression by factoring.
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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.
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Website
Cool Math

Coolmath: Polynomials Long Division Freaky Things That Can Happen Part 1

For Students 9th - 10th Standards
This CoolMath resource will help students understand how to apply long division to polynomials.
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Website
Cool Math

Coolmath: Polynomial Long Division Freaky Things That Can Happen Part 2

For Students 9th - 10th Standards
This CoolMath resource will help students understand how to apply long division to polynomials.
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Handout
CK-12 Foundation

Ck 12: Algebra: Operations With Polynomials Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to understand operations with polynomials. Examples are included.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Real Zeros of Polynomials

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students solve problems involving polynomial and rational functions. Students examine guided notes, review guided practice, watch instructional videos...
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Activity
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Synthetic Division by X A

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains how to divide a polynomial by a binomial using synthetic division. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
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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.
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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.
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Activity
Math Notes and Math Tests

Pre Calculus Notes: Long and Synthetic Polynomial Division [Pdf]

For Students 9th - 10th Standards
A college professor's detailed notes show how to divide polynomials based on the method for dividing integers.
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Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Synthetic Division

For Students 9th - 10th
This Math Forum site describes a general method for synthetic division by comparing it to the long division process.
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Lesson Plan
Alabama Learning Exchange

Alex: Conquering Polynomials

For Teachers 9th - 10th Standards
In this lesson, 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...
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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.
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Handout
Other

Georgia Perimeter College: Polynomials

For Students 9th - 10th Standards
This resource covers the laws of exponents and operations with polynomials, including FOIL and long division.
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Activity
Cool Math

Coolmath: Dividing by Monomials

For Students 6th - 9th Standards
This algebra lesson explains how to divide a polynomial by a monomial.
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Unknown Type
Wyzant

Wyzant: Polynomial Exponents

For Students 9th - 10th
This WyzAnt lesson displays examples for multiplication and division of polynomial exponents and polynomial exponents in fractions.
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Handout
Curated OER

Real Roots of Polynomial Functions

For Students 9th - 10th Standards
A thorough abstract treatment of how to find the roots of a polynomial function. The site explains how to divide polynomials and the remainder theorem. The language is a bit technical, but the examples are good.
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Unknown Type
Washington State University

Washington State University: Sample Problems From Intermediate Algebra

For Students 9th - 10th
Check for college math readiness using this problem sampler. Problems cover high school algebra topics, including linear and quadratic equations, factoring, radicals, rational expressions, synthetic division, complex numbers and more....

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