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Khan Academy
Khan Academy: Factor Polynomials Using Structure
Factor 'advanced' polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
University of Saskatchewan (Canada)
University of Saskatchewan: Factoring Polynomials
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...
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of a General Polynomial
For 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.
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,...
Khan Academy
Khan Academy: Special Products of Binomials
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. Students receive immediate...
Other
Quick Math: Factor Polynomials
The process of factoring is essential to the simplification of many algebraic expressions and is a useful tool in solving higher degree equations. In fact, the process of factoring is so important that very little of algebra beyond this...
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.
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...
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 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.
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...
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.
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.
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.
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.
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.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Rational Functions
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...
Richland Community College
Richland Community College: Math 116 Lecture Notes
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
Other
Laerd Mathematics: Algebraic Division
This tutorial demonstrates how to use long division with polynomials of various degrees. Includes eight practice problems with detailed solutions provided.
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.
Oswego City School District
Regents Exam Prep Center: Simplifying (Or Reducing) Fractions
At this site from the Oswego City School District, you can learn how to simplify fraction (rational expression) that contain monomials or higher degree polynomials. Reducing fractions is made easier with help from this page.
Interactive Mathematics
Interactive Mathematics: The Remainder and the Factor Theorem
This tutorial contains a lesson about the remainder and factor theorems along with practice problems.
Math Words
Mathwords: Quadratic Equation
The definition of a quadratic equation, followed by examples.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: La Function Cuadratica. Parabolas.
In Spanish. In this unit you will examine the plot of a second -degree polynomial function. You will establish similarities and differences between the graphs of two second-degree polynomial functions from their coefficients.