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.
Cuemath
Cuemath: Rational Function
A comprehensive guide for learning all about rational functions with definitions, how to plot them, solved examples, and practice questions.
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: Multiplication of Polynomials by Binomials
[Free Registration/Login may be required to access all resource tools.] In this lesson students multiply two binomials or a polynomial by a binomial. Students examine guided notes, review guided practice, watch instructional videos and...
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: Polynomial Graphs: End Behavior
Explains how to recognize the end behavior of polynomials and their graphs. Points out the differences between even-degree and odd-degree polynomials, and between polynomials with negative versus positive leading terms.
PBS
Pbs Teachers: Building Boxes [Pdf]
By determining the dimensions necessary for building a box with the greatest volume, learners will explore the world of polynomial and rational expressions. Graphing calculators can be used for this activity.
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.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Quadratics
Here is a site that clearly and thoroughly explains quadratic functions, including graphing functions and solving equations using factoring. There are example problems solved, problems for the student to attempt, and answers to the...
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