Unit Plan
OnlineMathLearning.com

Online Math Learning: Factor Polynomials With Complex Roots

For Students 9th - 10th Standards
A collection of video lessons with example problems and solutions to help students learn how to extend polynomial identities to the complex numbers. Includes interactive widget for working on the modeled problems or trying your own.
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...
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Finding Zeroes of Polynomials

For Students 9th - 10th Standards
This tutorial looks at a process using the Rational Root Theorem that allows you to find some of the zeroes of a polynomial and in special cases all of the zeroes.
Handout
CK-12 Foundation

Ck 12: Algebra: Factoring Polynomials Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to review factoring polynomials. Examples are included.
Unit Plan
Khan Academy

Khan Academy: End Behavior of Polynomials

For Students 9th - 10th Standards
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr: Zeroes & Factorization: Non Polynomial

For Teachers 9th - 10th Standards
The goal of this task is to show via a concrete example that the property of polynomials is not shared by all functions when zero is involved. Aligns with A-APR.B.2.
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A ced.a.1 & a rei.d.1: Intro. To Polynomials: College

For Teachers 9th - 10th
This task serves as an introduction to polynomials or as an application after students are familiar with exponential functions. Aligns with A-REI.D.11.
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Khan Academy

Khan Academy: Factor Polynomials: Quadratic Methods (Challenge)

For Students 9th - 10th Standards
Factor 'advanced' polynomials (i.e. polynomials of various degrees and or with two variables) using quadratic factorization methods.
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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.
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Khan Academy

Khan Academy: Factor Polynomials: Quadratic Methods

For Students 9th - 10th Standards
Factor polynomials that can be factored as the product of a monomial and a quadratic expression, then further factor the quadratic expression.
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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...
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Khan Academy

Khan Academy: Divide Polynomials by Monomials (With Remainders)

For Students 9th - 10th Standards
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a monomial, 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...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Polynomials Using Transformations

For Students 11th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson, students apply transformations to uncommon polynomial functions. Students examine guided notes, review guided practice, watch instructional videos...
eBook
Math Planet

Math Planet: Monomials and Adding or Subtracting Polynomials

For Students 6th - 8th
Gain an understanding of how to add or subtract polynomials by viewing an example and a video lesson.
Handout
Wolfram Research

Wolfram Math World: Polynomial

For Students 9th - 10th Standards
Mathworld.com contains a brief lesson on polynomials. This site explains what it means to be a polynomial in technical terms, gives identities for several special polynomials, and numerous links to related topics and terminology.
Handout
Purple Math

Purplemath: Multiplying Simple Polynomials

For Students 9th - 10th Standards
This Purplemath tutorial shows three methods for multiplying polynomials: distribution, FOIL, and columns.
Handout
Other

The Data Analysis Brief Book: Orthogonal Polynomials

For Students 9th - 10th
A brief discussion of orthogonal polynomials that gives a couple of examples.
Unit Plan
Math Planet

Math Planet: Factor Polynomials of the Form of X^2 + Bx + C

For Students 9th - 10th
This resource is about factorizing trinomials of the form x^2+bx+c by making them into a product of two binomials x^2+bx+c=(x+m)(x+n) where m+n=b and m*n=c
Activity
Help Algebra

Help algebra.com: Factoring Polynomials

For Students 9th - 10th
A detailed description of how to factor several types of polynomials is presented. Examples are provided to demonstrate the process.
Handout
University of Guelph

University of Guelph: Physics Tutorials: Algebra

For Students 9th - 10th Standards
This site reviews factoring quadratics, factoring higher order polynomials, and partial fractions.
Lesson Plan
National Council of Teachers of Mathematics

Nctm: Illuminations: Building Connections

For Teachers 9th - 10th
In this lesson, students translate between pictorial, written, and verbal representations of polynomials.
Activity
Help Algebra

Help algebra.com: Factoring Polynomials

For Students 9th - 10th
Several types of factoring are covered in this article, including common factors, grouping, special factors, and completing the square. The examples include detailed explanations of the factoring process.
eBook
CK-12 Foundation

Ck 12: Algebra Ii: 1.1 Zero Product Property

For Students 9th - 10th Standards
This section explores the process for finding values for x that make polynomial equality true when written in terms of x and set equal to zero.

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