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El Paso Community College

Factoring

For Students 9th - 12th Standards
Factoring polynomials is an important skill through high school math and beyond. It provides instructions for the basic types of factoring and a practice set with an answer key.
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1
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Willow Tree

Factoring Polynomials

For Students 8th - 11th Standards
Young mathematicians discover trees organize more than just families — they help factor, too. The instructional activity begins with factor trees and develops slowly to factoring by grouping and special patterns. 
Lesson Plan
Willow Tree

Multiplying Polynomials

For Students 8th - 11th Standards
Make two parts into a whole. Scholars learn to multiply polynomials to create a simplified polynomial expression. Polynomials include monomial, binomials, and trinomials. 
Handout
Cabrillo College

Elementary Algebra

For Students 8th - 11th Standards
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a...
Lesson Plan
Willow Tree

Solving Quadratic Equations

For Students 8th - 11th Standards
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
Handout
1
1
Chapman University

Fundamental Theorems of Mathematics

For Teachers 9th - Higher Ed
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are...
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
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.
Handout
Other

The Math Center: Advice for Factoring Polynomials

For Students 9th - 10th
This is a general resource on how to factor any polynomial. It reads like a flow chart on the decision-making process. Contains information about factoring polynomials with two, three, or four terms.
Handout
Integrated Publishing

Chapter 10: Factoring Polynomials

For Students 9th - 10th Standards
Contains a brief explanation of how to factor polynomials.
Handout
Other

Brown Math: Solving Polynomial Equations

For Students 9th - 10th Standards
The many facets of factoring polynomials and solving polynomial equations are explained here in great detail. Taking students from basic definitions through the Descartes Rule of Signs, this is a valuable tool for math classes.
Handout
Purple Math

Purplemath: Factoring Polynomials: How To

For Students 9th - 10th Standards
Demonstrates the steps involved in factoring a general polynomial, including using the Rational Roots Test and synthetic division. Shows how to "cheat" with a graphing calculator.
Handout
Oswego City School District

Regents Exam Prep Center: Factoring the Difference of Two Perfect Squares

For Students 9th - 10th
Use this site to learn the trick to factoring when the polynomial is a difference of two perfect squares. The site contains examples that are easy to follow.
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...
Handout
Math Medics

S.o.s. Math: Factoring Over the Complex Numbers

For Students 9th - 10th Standards
S.O.S. Math provides information, including examples, on factoring over the complex numbers.
Handout
Math2

Math2.org: Polynomial Identities

For Students 9th - 10th
This resource provides a list of polynomial identities, including formulas for squaring a binomial, FOILing a trinomial, factoring a difference of two squares, factoring a sum or difference of two cubes, and the Quadratic Formula.
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Purple Math

Purplemath: Simple Factoring

For Students 9th - 10th Standards
Demonstrates how to factor simple polynomial expressions such as "2x + 6".
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Oswego City School District

Regents Exam Prep Center: Factoring Trinomials (A=1)

For Students 9th - 10th
This site from the Oswego City School District shows students how to factor trinomials when the leading coefficient is equal to 1. The example walks students through the process so they can learn to do it on their own. Includes link to...
Handout
Windstream

Ojk's Precalculus Study Page: Solving Polynomial Equations

For Students 9th - 10th Standards
A comprehensive look at the three main ways to find the roots of a polynomial: factoring, formulas, and the rational root theorem.
Handout
Purple Math

Purplemath: Solving Polynomials: How To

For Students 9th - 10th Standards
Demonstrates the steps involved in solving a general polynomial, including how to use the Rational Roots Test and synthetic division. Points out when using a graphing calculator can be very helpful.
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.
Handout
Oswego City School District

Regents Exam Prep Center: Simplifying Rational (Fractional) Expressions

For Students 9th - 10th Standards
Students see how factoring is used to simplify rational expressions in three example problems.
Handout
Purple Math

Purplemath: Partial Fraction Decomposition: General Techniques

For Students 9th - 10th Standards
Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions. This reference material demonstrates the...
Handout
Purple Math

Purplemath: Special Factoring: Differences of Squares

For Students 9th - 10th Standards
Demonstrates how to use the formula for finding the differences of squares, and warns against trying to factor a sum of squares.

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