Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Vocabulary of Polynomial Function
Here is a site that clearly and thoroughly explains all the vocabulary associated with polynomial functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out...
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Polynomial Growth
In this problem, students compare the growth of exponential functions versus polynomial functions and find that an exponential function takes larger values than a cubic polynomial function provided the input is sufficiently large. Aligns...
University of Saskatchewan (Canada)
University of Saskatchewan: Graphing Polynomials
An introduction to the graphs of polynomial functions by looking at the roots of the polynomials, or where it crosses the x-axis. Includes links to pictures of graphs and detailed explanations.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Graphs of Polynomial Functions
Using this tutorial, you'll learn how to identify a polynomial function, use the leading coefficient test, find the zeros of a function, and complete other tasks related to polynomial functions.
Cuemath
Cuemath: Graphing a Quadratic Function
A comprehensive guide for learning all about how to graph a quadratic function with definitions, domain and range of quadratic function, vertex form, standard form, how to solve them, solved examples, and practice questions.
Curated OER
Zona Land Education: Polynomial Function Graphs
Use the applets to look at several polynomial function graphs and how their characteristics change.
CK-12 Foundation
Ck 12: Algebra Ii: 1.4 Characteristics of Polynomial Graphs
This lesson explores graphs of polynomial equations including how to find the maximum and minimum y-values on a polynomial function.
Richland Community College
Real Zeros of Polynomial Functions
This site from the Richland Community College contains information on long and synthetic division, the remainder theorem and the factor theorem.
Khan Academy
Khan Academy: Even & Odd Functions: Equations
Given the formula of a polynomial function, determine whether that function is even, odd, or neither.
CK-12 Foundation
Ck 12: Algebra Ii: Addition and Subtraction of Polynomials
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to add and subtract polynomials, as well as learn about the different parts of a polynomial. Practice problems are also included.
CK-12 Foundation
Ck 12: Algebra Ii: 1.14 Polynomial Models
Learning to express real-life situations as mathematical functions (models) allows seemingly complex ideas and actions to be broken down into smaller, simpler parts and analyzed. In this section are three types of of those models:...
Richland Community College
Richland Community College: Rational Functions and Asymptotes
This site contains basic information on rational functions. Gives definition, how to find domain and roots, and how rational functions apply to asymptotes and holes in the graph.
Math Planet
Math Planet: Algebra 2: Polynomial Functions: Descartes' Rule of Sign
Provides detailed information about Descartes' rule of sign through the use of examples.
Purple Math
Purplemath: General Polynomials
Confused about graphing or just need a refresher? This explanation focuses on graphing higher-power polynomials along with radical functions, rational functions, and piecewise functions. Plenty of examples are included.
Texas Instruments
Texas Instruments: Multiplying/factoring Polynomials
Students will be given binomials to multiply or trinomials to factor. The teacher will enter the binomials/trinomial into activity center and students must send in other form. Correct answers should match teacher graph.
CK-12 Foundation
Ck 12: Algebra: Multiplying Polynomials
[Free Registration/Login may be required to access all resource tools.] This lesson covers multiplying polynomials. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Purple Math
Purplemath: Numerical Approximation of Zeroes: The Midpoint Method
Explains the reasoning and methodology for the process of numerically approximating the zeroes of a non solvable polynomial.
PBS
Pbs Teachers: Building Boxes [Pdf]
By determining the dimensions necessary for building a box with the greatest volume, students will explore the world of polynomial and rational expressions. Graphing calculators can be used for this activity.
Illustrative Mathematics
Illustrative Mathematics: F if Running Time
This task provides an application of polynomials in computing. Students are asked to calculate the running time of algorithms for loading images of different sizes. They then graph the running time polynomials and decide which is more...
Purple Math
Purplemath: Graphing Rational Functions: Introduction
To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then sketch in the graph. Once you get the swing of things, rational functions are actually fairly simple to graph. This resources provides...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Rational Zero Theorem
This tutorial will show you how to use the rational zero theorem, to find all zeros of a polynomial function, and how to use Descartes' rule of signs. Offers step-by-step solutions to example problems as well as practice problems for you...
Purple Math
Purplemath: Evaluation: Evaluating Expressions, Polynomials, and Functions
Demonstrates evaluation (or 'plug-n-chug'), and points out common usage and mistakes.
CK-12 Foundation
Ck 12: Algebra: Factorization of Quadratic Expressions
[Free Registration/Login may be required to access all resource tools.] Learn how to factor quadratic expressions.
Purple Math
Purplemath: Graphing Overview: Straight Lines
This resource provides an overview of graphing for various types of functions, instruction on graphing straight lines and also, includes advice on common mistakes made by students.
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