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University of Vienna (Austria)

University of Vienna: Pulling Common Factors Out

For Students 9th - 10th
Multiple choice assessment which tests knowledge of "simple" factoring (greatest common factor only), given varying degrees of polynomials.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Degree of a Polynomial

For Students 9th - 10th Standards
Find a quick, concise explanation of how to find the degree of a polynomial. Examples are given and clearly explained for how to find the degree of both a monomial and polynomial after it has been simplified.
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.
Handout
Math Is Fun

Math Is Fun: Degree (Of an Expression)

For Students 9th - 10th Standards
This learning resource investigates the degree of an expression or polynomial. Students learn about the concept through definitions and animated examples. Includes ten practice questions.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Degree of a Polynomial

For Students 9th - 10th Standards
Answer to a question about how to find the degree of a polynomial. The question involves the degree when one of the exponents is negative, as well as a polynomial of two variables.
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...
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. .
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
University of Vienna (Austria)

University of Vienna: Polynomials and Their Order

For Students 9th - 10th
Given an unsimplified polynomial, this matching assessment will test your understanding of degrees (referred to as "order" by the website) of polynomials.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Graphs of Polynomials Using Zeros

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students use ''X'' and ''Y'' intercepts to graph polynomials of 3rd degree or higher. Students examine guided notes, review guided practice, watch...
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
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...
Interactive
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Roots of Higher Degree Polynomial

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains how to find the roots of polynomials of degree greater than two. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
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.
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...
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
Analyze Math

Analyze Math: Introduction to Polynomials

For Students 9th - 10th Standards
Students are introduced to polynomials. The tutorial defines monomials, the leading coefficient, binomials, trinomials, and the degree of a polynomial.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 11.13 Fundamental Theorem of Algebra

For Students 9th - 10th Standards
The Fundamental Theorem of Algebra is really the foundation on which most of the study of Algebra is built. In simple terms it says that every polynomial has zeros. That means that every polynomial can be factored and set equal to zero....
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...
Activity
Texas Instruments

Texas Instruments: First Degree Monomials and Binomials

For Teachers 9th - 10th Standards
Students will apply basic operations to monomial and binomial expressions after recognizing the characteristics of 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
Help Algebra

Help algebra.com: Polynomials

For Students 9th - 10th Standards
Polynomials are defined, then the parts of a polynomial are identified. The resource also gives examples of different types of polynomials.
Unknown Type
University of Saskatchewan (Canada)

University of Saskatchewan: Algebra 1 Review

For Students 9th - 10th Standards
A more advanced review of algebra concepts and practice review problems ranging from the basic rules of algebra to polynomials. A good test of readiness for higher level math courses.
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Khan Academy

Khan Academy: Divide Polynomials With Remainders

For Students 9th - 10th Standards
Rewrite rational expressions of the form a(x)/b(x), where a(x) and b(x) are polynomials, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students receive immediate...