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Curated OER
Exponential Growth versus Polynomial Growth
Your algebra learners explore the values of two types of functions in order to compare growth rates in this short cooperative task. Two types of solutions are given, using a table of values and an abstract argument.
Education Development Center
Creating a Polynomial Function to Fit a Table
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
Curated OER
Tale of the Tape
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
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...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Solving Polynomial Equations: Factoring
Using this tutorial, you'll learn to write polynomial equations in standard form, to use the zero factor property, and to solve polynomial equations by factoring.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Solving Polynomial Equations and Inequalities
Eighteen problems present a variety of practice solving polynomial equations and inequalities. 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...
Oswego City School District
Regents Exam Prep Center: Solving Fractional Equations
Use this site to learn how to eliminate the denominators to make solving these equations easier. Examples contain algebraic fractions with monomials and higher degree polynomials in the denominators.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Solving Polynomials
Question and Answer forum about solving a polynomial equation. See how this problem was solved correctly.
Purple Math
Purplemath: Solving Polynomial Inequalities
Demonstrates the 'factor table' method for solving polynomial inequalities.
Help Algebra
Help algebra.com: Examples of Polynomial Equations
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.
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Solving Equations Using Factoring
Twenty-eight problems present a variety of problems using factoring to solve equations. 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"...
Interactive Mathematics
Interactive Mathematics: Polynomial Functions and Equations
Want to find the roots of a polynomial function? Learn how, using several methods in this tutorial. Graphing and Scientific Notebook are used on the main page. Click on the "Dinosaur Method" link at the bottom of the page to see the...
Texas Instruments
Texas Instruments: The Letter Product Game
This activity will encourage students' powers of deduction through a word game. This will allow a review of factoring integers. A simple extension allows a classroom discussion that will evolve into the Zero Product Theorem, essential to...
University of North Carolina
S University of North Carolina Wilmington: Olving Equations Algebraically
Site provides tutorial on solving algebraic equations including radical equations, quadratic equations, polynomial equations, fractional equations, absolute value equations.
Math Medics
S.o.s. Math: Algebra
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...
Texas Instruments
Texas Instruments: Solving Equations
Learn to use the TI-86 to solve many types of equations by following this lesson plan and activity. Included are keystroke instructions and calculator screenprints to guide students.
Other
Dans Math: Lessons: Intermediate Algebra
College professor Dan Bach presents a review of algebra concepts, including factoring, quadratic equations, and graphing parabolas. The examples are detailed, but easy to follow. This is a good site for reviewing before tests and quizzes.
Windstream
Ojk's Precalculus Study Page: Polynomial Inequalities, One Variable
This tutorial offers two methods to solve polynomial inequalities. Site includes several examples, charts, graphs, and other information for student understanding.
Interactive Mathematics
Interactive Mathematics: The Remainder and the Factor Theorem
This tutorial contains a lesson about the remainder and factor theorems along with practice problems.
Wyzant
Wyzant: Solve by Factoring Worksheet
Learners complete a worksheet on solving equations by factoring. An example problem and answer sheet is included.
Texas Instruments
Texas Instruments: Introduction to Some Algebra Concelpts Using Cas
This series of activities provides an introduction to some Algebra concelpts using CAS. The activities start with Algebra tiles and CAS. Patterning is modelled for the students so that they can construct the knowledge rather than be...
University of Saskatchewan (Canada)
University of Saskatchewan: Square Roots & Other Radicals
This University of Saskatchewan site provides general information about square roots and other forms of radical equations.
Purple Math
Purplemath: Finding Quadratics From Their Zeroes
Students often have difficulty "working backwards" from the solution of a problem to its original question. Finding a polynomial, given its roots, is an example of a "working backwards" problem. Here are several examples using different...