Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial
This is the first of a series of problems building to an understanding of an important property of polynomial functions, that a polynomial of degree d can have at most d roots. Aligns with A-APR.B.2.
Richland Community College
Richland Community College: Algebra Lecture Notes
This site from Richland Community College provides lecture notes to a class on Algebra. It covers a wide array of topics including functions, quadratic equations, inequalities, and much more.
Illustrative Mathematics
Illustrative Mathematics: A Apr: Zeroes & Factorization: Non Polynomial
The goal of this task is to show via a concrete example that the property of polynomials is not shared by all functions when zero is involved. Aligns with A-APR.B.2.
American Association of Physics Teachers
Com Padre Digital Library: Open Source Physics: Special Functions Model
This downloadable java simulation shows a variety of special functions. Functions included are Legendre polynomials, Chebyshev polynomials, and Bessel functions.
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.
Texas Instruments
Texas Instruments: Polynomials
These questions about polynomials involve finding the zeros, writing the equation of the polynomial given the zeros, and determining the end behavior. Questions are multiple choice and true/false; solutions are provided.
Curated OER
Polynomial Functions of the First Degree
A java applet that lets you graph a first degree polynomial and see how changing the coefficients changes the graph.
CK-12 Foundation
Ck 12: Analysis: Graphing Cube Root Functions
[Free Registration/Login may be required to access all resource tools.] This lesson covers graphing cubed root functions. Students examine guided notes, review guided practice and attempt practice problems.
Khan Academy
Khan Academy: Even & Odd Functions: Equations
Given the formula of a polynomial function, determine whether that function is even, odd, or neither.
Texas Instruments
Texas Instruments: Student Generated Cubic Functions
While using the TI-Navigator, students will attempt to create a cubic regression equation given three, two, and one x-intercept.
Curated OER
Function Institute
The Function Institute provides descriptions and examples for linear functions, polynomials functions, rational functions, exponential functions, and trigonometric functions.
Curated OER
Definition of a Polynomial Function
This page gives the basic definition and several concrete examples of polynomial functions
Curated OER
Real Roots of Polynomial Functions
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.
Khan Academy
Khan Academy: Algebra Ii: Zeros of Polynomials (Factored Form)
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Multiply Monomials by Polynomials
Use the distributive property to express the product of a monomial and a polynomial as a single polynomial. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.
Khan Academy
Khan: Lsn 11 Ops W Polynomials, Rewriting Expressions, Quad Functions, Equations
Lesson 1 of 4 for Passport to Advanced Math. Students will add, subtract, and multiply polynomials. They will build quadratic functions and write equations to represent a context.
CK-12 Foundation
Ck 12: Analysis: Real Zeros of Polynomials
[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...
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: Multiplication of Monomials by Polynomials
[Free Registration/Login may be required to access all resource tools.] In this lesson students multiply two monomials or a polynomial by a monomial. 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:...
CK-12 Foundation
Ck 12: Analysis: Graphing Polynomials
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the minimum(s), maximum(s), end behavior, domain, and range of a polynomial graph. Students examine guided notes, review guided practice,...
Khan Academy
Khan Academy: Algebra I: Find Inverse Functions
Practice finding the formula of the inverse function of a given polynomial, radical, or rational function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Richland Community College
Richland Community College: Steps to Graphing Rational Functions
This site describes the steps to follow when graphing a rational function.
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