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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...
Del Mar College
Quick Reference Card
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus.
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...
Virginia Department of Education
Quadratic Equations
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...
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...
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.
Oswego City School District
Regents Exam Prep Center: Factoring the Difference of Two Perfect Squares
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.
Math Medics
S.o.s. Math: Factoring Over the Complex Numbers
S.O.S. Math provides information, including examples, on factoring over the complex numbers.
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.
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...
Paul Dawkins
Paul's Online Notes: Algebra: Quadratic Equations Part I
Detailed math tutorial features notes and examples that illustrate how to solve quadratic equations by factoring and the square root property.
Other
Mathway: Algebra Formulas
Comprehensive resource provides algebra formulas for exponents, absolute value, factoring Pythagorean Theorem, linear equations, quadratic formula, distance formula, midpoint formula, and slope of a line through two points.
Oswego City School District
Regents Exam Prep Center: Factoring Trinomials (A=1)
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...
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.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Prime Factorization
Find a quick, concise explanation of how to find the unique prime factorization of a number. An example is given and clearly explained.
Purple Math
Purplemath: Simple Factoring
Demonstrates how to factor simple polynomial expressions such as "2x + 6".
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.
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.
Interactive Mathematics
Interactive Mathematics: Equivalent Fractions
The concept of equivalent fractions is applied to algebraic expressions. Examples of how to simplify expressions are included, along with when to stop simplifying. Includes practice problems.
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...
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.
Math Is Fun
Math Is Fun: Real World Examples of Quadratic Equations
Provides examples of how quadratic equations can be used in real-world scenarios, and the different methods used to solve them.
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