Handout
Paul Dawkins

Paul's Online Notes: Algebra: Preliminaries: Polynomials

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that define the degree of a polynomial and illustrates how to ass, subtract, and multiply polynomials. .
Activity
Other

Karl's Calculus Tutor: Algebra Concepts Polynomials

For Students 9th - 10th Standards
This site gives a brief explanation to topics that are prerequisites to studying calculus. Among these operations factoring of polynomials. Special polynomials such as conjugates and differences of squares are also mentioned.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Beginning Algebra: Adding and Subtracting Polynomials

For Students 9th - 10th Standards
A tutorial as an introduction to polynomials. Basic terminology and simple algebraic manipulations. Offers discussions and practice exercises with answers and explanations.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Polynomials

For Students 9th - 10th
Sixteen problems present a variety of practice working with polynomials. 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" button to check...
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.
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Preliminaries: Factoring Polynomials

For Students 9th - 10th
Detailed math tutorial features notes and examples that illustrate how to factor polynomials. It discusses factoring out the greatest common factor, factoring by grouping, factoring quadratics, and factoring polynomials with degree...
Unit Plan
Cuemath

Cuemath: Polynomial Functions

For Students 9th - 10th Standards
A comprehensive guide for learning all about polynomial functions with definitions, the highest degree of the polynomial, graphing polynomial functions, range and domain of polynomial functions, solved examples, and practice questions.
Activity
Cool Math

Coolmath: Graphing Polynomials Basic Shapes Even Degree (Intro to Zeros)

For Students 6th - 8th
This algebra lesson explains the basic shapes of the graphs of even degree polynomials and gives an introduction to zeros.
Activity
Cool Math

Coolmath: Graphing Polynomials Basic Shapes Odd Degree (Intro to Zeros)

For Students 6th - 8th
This algebra lesson explains the basic shapes of the graphs of odd degree polynomials and gives an introduction to zeros.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Polynomials in Standard Form

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Identify polynomials, express polynomials in standard form, and find their degree.
Unit Plan
Khan Academy

Khan Academy: Factor Polynomials: Quadratic Methods (Challenge)

For Students 9th - 10th
Factor "advanced" polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Polynomials in Standard Form

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Write and classify polynomials in standard form.
Activity
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Vocabulary of Polynomial Function

For Students 9th - 10th
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...
Activity
Texas Instruments

Texas Instruments: Taylor Polynomials

For Teachers 9th - 10th
Students learn to define a Taylor polynomial approximation to a function f of degree n about a point x = a. They also learn to graph convergence of Taylor polynomials. They use Taylor polynomials to approximate function values.
Activity
Paul Dawkins

Paul's Online Notes: Algebra: Polynomial Functions

For Students 9th - 10th Standards
Students investigate how to sketch and find solutions to higher degree polynomials. Topics explored are dividing polynomials, roots of polynomials, graphing polynomials, and finding zeroes of polynomials. Class notes, definitions, and...
Activity
Texas Instruments

Texas Instruments: Second Degree and Higher Polynomials

For Teachers 9th - 10th Standards
Students will apply the four basic operations to polynomials and factor polynomials.
Unknown Type
McGraw Hill

Glencoe Mathematics: Online Study Tools: Self Check Quiz on Polynomial Functions

For Students 9th - 10th Standards
Learners demonstrate comprehension of advanced mathematical concepts in Algebra II. The questions check understanding on polynomial functions. Topics include degree, roots, and graphing.
Activity
Purple Math

Purplemath: Polynomials: Definition and Evaluation

For Students 9th - 10th Standards
A great lesson on polynomials is found at this Purplemath resource. Provides a clear definition of what a polynomial is, tells how to tell what the different degrees of a polynomial are, and how to simplify polynomials by combining like...
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Zeroes/roots of Polynomials

For Students 9th - 10th Standards
Learn about the root or zero of a polynomial with this reference guide. Includes definitions, step-by-step instructions on how to find all the zeroes for a given polynomial, and multiple examples. Also included is a description of The...
Unknown Type
Khan Academy

Khan Academy: Factor Polynomials Using Structure

For Students 9th - 10th Standards
Factor complex polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...
Activity
Texas Instruments

Texas Instruments: Polynomial Root Finder App

For Teachers 9th - 10th Standards
This App allows students to calculate real and complex roots for polynomials up to degree 30 using eigenvalues and easily graph polynomials.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial

For Teachers 9th - 10th Standards
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.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Factoring Polynomials

For Students 9th - 10th
This site from the University of Saskatchewan provides an explanation of factoring by grouping, greatest common factor, perfect squares, and difference of squares. Higher degree polynomials factored as well. Some examples provided along...
Unknown Type
Paul Dawkins

Paul's Online Notes: Factoring Polynomials: Practice Problems

For Students 9th - 10th
Practice exercise reviews factoring polynomials including how to factor out the greatest common factor, factoring by grouping, factoring quadratics, and factoring polynomials with degree greater than 2.