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Khan Academy

Khan Academy: Factor Polynomials Using Structure

For Students 9th - 10th Standards
Factor 'advanced' polynomials (i.e. polynomials of various degrees and or with two variables) using special product factorization methods.
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Zeroes and Factorization of a General Polynomial

For Teachers 9th - 10th Standards
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.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Intermediate Algebra

For Students 9th - 10th
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,...
Unit Plan
Khan Academy

Khan Academy: Special Products of Binomials

For Students 9th - 10th
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...
Website
Other

Quick Math: Factor Polynomials

For Students 9th - 10th Standards
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...
Activity
Help Algebra

Help algebra.com: Examples of Polynomial Equations

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

Texas Instruments: Explore End Behavior

For Teachers 9th - 10th
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...
Handout
Purple Math

Purplemath: Polynomial Graphs: End Behavior

For Students 9th - 10th Standards
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.
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Math Graphs

Houghton Mifflin: Math Graphs: Polynomial Approximations [Pdf]

For Students 9th - 10th
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.
Unit Plan
Oswego City School District

Regents Exam Prep Center: Polynomial Equations of a Higher Degree

For Students 10th - 12th
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...
Activity
Curated OER

Polynomial Functions

For Students 9th - 10th Standards
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.
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Khan Academy

Khan Academy: Polynomial Special Products: Perfect Square

For Students 9th - 10th
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.
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Math Notes and Math Tests

Pre Calculus Notes: Polynomial Functions of Higher Degree [Pdf]

For Students 9th - 10th
The resource discusses polynomial functions of higher degree. Topics examined are infinity, limits, the factor theorem, and the intermediate value theorem.
Activity
Curated OER

Polynomial Functions of the First Degree

For Students 9th - 10th Standards
A java applet that lets you graph a first degree polynomial and see how changing the coefficients changes the graph.
Unit Plan
Cuemath

Cuemath: Graphing a Quadratic Function

For Students 9th - 10th Standards
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.
Interactive
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Rational Functions

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
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
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."
Unit Plan
Other

Laerd Mathematics: Algebraic Division

For Students 9th - 10th Standards
This tutorial demonstrates how to use long division with polynomials of various degrees. Includes eight practice problems with detailed solutions provided.
Activity
Texas Instruments

Texas Instruments: Quartic Inflection

For Teachers 9th - 10th
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.
Activity
Oswego City School District

Regents Exam Prep Center: Simplifying (Or Reducing) Fractions

For Students 9th - 10th Standards
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.
Activity
Interactive Mathematics

Interactive Mathematics: The Remainder and the Factor Theorem

For Students 9th - 10th Standards
This tutorial contains a lesson about the remainder and factor theorems along with practice problems.
Activity
Math Words

Mathwords: Quadratic Equation

For Students 9th - 10th Standards
The definition of a quadratic equation, followed by examples.
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: La Function Cuadratica. Parabolas.

For Students 9th - 10th Standards
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.