Cool Math
Coolmath: Graphing Polynomials Absolute Maximums and Minimums
This algebra lesson explains how to find the absolute maximums and minimums (extrema) of a polynomial.
Cool Math
Coolmath: Graphing Polynomials Increasing and Decreasing
This algebra lesson explains how to find where a polynomial is increasing, decreasing or neither.
Cool Math
Coolmath: Graphing Polynomials Maximums and Minimums
Find out how to find relative minimums and maximums of the typical polynomial.
Help Algebra
Help algebra.com: Polynomials
Polynomials are defined, then the parts of a polynomial are identified. The resource also gives examples of different types of polynomials.
Math Graphs
Houghton Mifflin: Math Graphs: Polynomial Approximations [Pdf]
The exercise explores first-, second-, and third-degree polynomial approximations. Students label the graphs of the polynomial approximations. The handout is available in PDF format.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Degree of a Polynomial
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.
Oswego City School District
Regents Exam Prep Center: Polynomial Equations of a Higher Degree
The lesson discusses solving and graphing polynomial equations of higher degree. The resource consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource includes an activity that...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Roots of Higher Degree Polynomial
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...
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes, Factorization of Quadratic Polynomial Ii
This task is intended to help students see more clearly the link between factorization of polynomials and zeroes of polynomial functions. The argument here generalizes to show that a polynomial of degree d can have at most d roots....
Other
Oakton: Polynomials
This resource provides introductory information dealing with polynomials such as definitions, uses, etc.
Curated OER
Polynomial Functions
Polynomial functions are functions with x as an input variable made up of several terms, each made up of two factors. Click the links for detailed explanations and examples.
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of a General Polynomial
In this task, students investigate the properties of a polynomial of degree d > 0. The task relates to the Fundamental Theorem of Algebra. Aligns with A-APR.B.2.
Khan Academy
Khan Academy: Polynomial Special Products: Perfect Square
Find special products (perfect squares and difference of squares) of 'advanced' binomials: binomials with leading coefficients other than 1; binomials with higher degrees; and binomials with two variables.
University of Vienna (Austria)
University of Vienna: Pulling Common Factors Out
Multiple choice assessment which tests knowledge of "simple" factoring (greatest common factor only), given varying degrees of polynomials.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
Cool Math
Coolmath: Some Math Words to Know
This CoolMath resource provides definitions and example for the following math words: term, polynomial, binomial, mononomial, and degree.
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.
Math Notes and Math Tests
Pre Calculus Notes: Polynomial Functions of Higher Degree [Pdf]
The resource discusses polynomial functions of higher degree. Topics examined are infinity, limits, the factor theorem, and the intermediate value theorem.
Help Algebra
Help algebra.com: Examples of Polynomial Equations
To solve polynomials of higher degree, use synthetic division as demonstrated here. The Rational Zero Theorem, Upper and Lower Bound Theorem, and Descartes Rule of Signs are explained.
University of Saskatchewan (Canada)
University of Saskatchewan: Algebra 1 Review
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.
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.
Texas Instruments
Texas Instruments: Explore End Behavior
Guide your students to the discovery that the end behavior of a polynomial function is determined by the degree of the polynomial and the sign of the leading coefficient by using this activity from Holt, Rinehart, & Winston's Algebra...
Texas Instruments
Texas Instruments: Quartic Inflection
This activity introduces students to an interesting property of fourth degree polynomials and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon specific results.
CK-12 Foundation
Ck 12: Algebra Ii: 11.13 Fundamental Theorem of Algebra
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....