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Cabrillo College
Elementary Algebra
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...
El Paso Community College
Factoring
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.
Willow Tree
Factoring Polynomials
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.
Willow Tree
Multiplying Polynomials
Make two parts into a whole. Scholars learn to multiply polynomials to create a simplified polynomial expression. Polynomials include monomial, binomials, and trinomials.
Willow Tree
Solving Quadratic Equations
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...
Chapman University
Fundamental Theorems of Mathematics
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...
Paul Dawkins
Paul's Online Notes: Algebra: Preliminaries: Factoring Polynomials
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...
Other
Brown Math: Solving Polynomial Equations
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.
Paul Dawkins
Paul's Online Notes: Algebra: Zeroes/roots of Polynomials
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...
CK-12 Foundation
Ck 12: Algebra: Factoring Polynomials Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review factoring polynomials. Examples are included.
University of Guelph
University of Guelph: Physics Tutorials: Algebra
This site reviews factoring quadratics, factoring higher order polynomials, and partial fractions.
Math2
Math2.org: Polynomial Identities
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.
Purple Math
Purplemath: Factoring Polynomials: How To
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.
Windstream
Ojk's Precalculus Study Page: Solving Polynomial Equations
A comprehensive look at the three main ways to find the roots of a polynomial: factoring, formulas, and the rational root theorem.
Purple Math
Purplemath: Solving Polynomials: How To
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.
Purple Math
Purplemath: Special Factoring: Differences of Squares
Demonstrates how to use the formula for finding the differences of squares, and warns against trying to factor a sum of squares.
Math Medics
S.o.s. Math: Fundamental Theorem of Algebra
This lesson takes a look at the Fundamental Theorem of Algebra. It gives information on solving multiplicity of roots and quadratic polynomials. Also gives a brief history and provides some learning exercises to practice.
Purple Math
Purplemath: Partial Fraction Decomposition: General Techniques
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...