Khan Academy on a Stick
Multiplying and factoring expressions
This topic will add a ton of tools to your algebraic toolbox. You'll be able to multiply any expression and learn to factor a bunch a well. This will allow you to solve a broad array of problems in algebra.

Factoring Special Products
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Factoring Special Products

Example 1: Factoring difference of squares
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Factoring difference of squares

Example 2: Factoring difference of squares
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Factoring difference of squares
 Factoring to produce difference of squares

Example: Factoring perfect square trinomials
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Factoring perfect square trinomials

Example: Factoring a fourth degree expression
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Factoring Special Products 2

Example: Factoring special products
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Factoring Special Products 1
Factoring special products
You will encounter very factorable quadratics that don't always seem so. This tutorial will expand your arsenal by exposing you to special products like differenceofsquares and perfect square quadratics.

Multiplying Monomials
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Multiplying Monomials

Dividing Monomials
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Dividing Monomials

Multiplying and Dividing Monomials 1
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Multiplying and Dividing Monomials 1

Multiplying and Dividing Monomials 2
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Multiplying and Dividing Monomials 2

Multiplying and Dividing Monomials 3
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Multiplying and Dividing Monomials 3

Monomial Greatest Common Factor
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Monomial Greatest Common Factor
Multiplying and dividing monomials
"Monomials" sounds like a fancy word, but it just refers to single terms like "4x" or "8xy" or "17x^2z". In this tutorial, we'll learn to multiply and divide them using ideas you're already familiar with (like exponent properties and greatest common factor).

Multiplying binomials word problem
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Multiplying binomials word problem

FOIL for multiplying binomials
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FOIL method for multiplying binomials

Multiplying Binomials with Radicals
Multiplying Binomials with Radicals

Multiplying binomials example 1
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Multiplying binomials

FOIL method for multiplying binomials example 2
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FOIL method for multiplying binomials example 2

Square a Binomial
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Square a Binomial

Special Products of Binomials
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Special Products of Binomials

Multiplying binomials to get difference of squares
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Multiplying binomials to get difference of squares

Squaring a binomial
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Squaring a binomial

Squaring a binomial example 2
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Squaring a binomial example 2

Classic multiplying binomials video
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(Ax+By)(Ax+By)
Multiplying binomials
In this tutorial you'll learn that multiplying things like (4x7)(9x+5) just require the distributive property that you learned in elementary school. We'll touch on the FOIL method because it seems to be covered in a lot of schools, but we don't like it (we don't think it is good to memorize processes without knowing the why).

Factoring and the Distributive Property 3
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Factoring and the Distributive Property 3
 Factoring linear binomials

Factoring and the Distributive Property
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Factoring and the Distributive Property

Factoring and the Distributive Property 2
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Factoring and the Distributive Property 2

Factor expressions using the GCF
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Factor expressions using the GCF
Factoring simple expressions
You already know a bit about multiplying expressions. We'll now reverse course and look at how to think about an expression as the product of simpler ones (just like we did when we find the factors of numbers).

Factoring quadratic expressions
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Factoring Quadratic Expressions

Examples: Factoring simple quadratics
A few examples of factoring quadratics

Example 1: Factoring quadratic expressions
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Factoring trinomials with a leading 1 coefficient

Example 1: Factoring trinomials with a common factor
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Factoring trinomials with a common factor
Factoring quadratic expressions
Not only is factoring quadratic expressions (essentially seconddegree polynomials) fun, but it is good for you. It will allow you to analyze and solve a whole range of equations. It will allow you to impress people at parties and move up the career ladder. How exciting!

Factor by Grouping and Factoring Completely
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Factor by Grouping and Factoring Completely

Example: Basic grouping
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Factoring Trinomials by Grouping 1

Example 1: Factoring by grouping
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Factoring trinomials with a non1 leading coefficient by grouping

Example 2: Factoring by grouping
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U09_L1_T2_we2 Factoring Trinomials by Grouping 2

Example 3: Factoring by grouping
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Factoring simple quadratic expressions

Example 4: Factoring by grouping
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Factoring Trinomials by Grouping 4

Example 5: Factoring by grouping
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Factoring Trinomials by Grouping 5

Example 6: Factoring by grouping
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Factoring Trinomials by Grouping 6
Factoring by grouping
Factoring by grouping is probably the one thing that most people never really learn well. Your fate doesn't have to be the same. In this tutorial, you'll see how factoring by grouping can be used to factor a quadratic expression where the coefficient on the x^2 term is something other than 1?
Factoring quadratics in two variables
We'll now extend the application of our quadraticfactoring toolkit, by factoring expressions with two variables. As we'll see, this is really just an extension of what you probably already know (or at least will know after working through this tutorial). Onward!

Terms coefficients and exponents in a polynomial
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Terms coefficients and exponents in a polynomial

Interesting Polynomial Coefficient Problem
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Finding the coefficients of a third degree polynomial given 2 roots and the yintercept

Polynomials1
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Polynomials1

Polynomials 2
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Polynomials 2

Evaluating a polynomial at a given value
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Evaluating a polynomial at a given value

Simplify a polynomial
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Working through simplifying a polynomial

Adding Polynomials
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Adding Polynomials

Example: Adding polynomials with multiple variables
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Basic example of simplifying a polynomial expression with multiple variables.

Addition and Subtraction of Polynomials
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Addition and Subtraction of Polynomials

Adding and Subtracting Polynomials 1
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Adding and Subtracting Polynomials 1

Adding and Subtracting Polynomials 2
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Adding and Subtracting Polynomials 2

Adding and Subtracting Polynomials 3
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Adding and Subtracting Polynomials 3

Subtracting Polynomials
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Subtracting Polynomials

Subtracting polynomials with multiple variables
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Subtracting polynomials with multiple variables
Polynomial basics
"Polynomials" sound like a fancy word, but you just have to break down the root words. "Poly" means "many". So we're just talking about "many nomials" and everyone knows what a "nomial" is. Okay, most of us don't. Well, a polynomials has "many" terms. From understanding what a "term" is to basic simplification, addition and subtraction of polynomials, this tutorial will get you very familiar with the world of many "nomials." :)

Multiplying Monomials by Polynomials
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Multiplying Monomials by Polynomials

Multiplying Polynomials
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Multiplying Polynomials

Multiplying Polynomials 3
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Multiplying Polynomials 3

More multiplying polynomials
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More multiplying polynomials
Multiplying polynomials
You'll see in this tutorial that multiplying polynomials is just an extension of the same distributive property that you've already learned to multiply simpler expression (that's why we think FOIL is lameit doesn't generalize and it is more memorization than real understanding).

Polynomial Division
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Polynomial Division

Polynomial divided by monomial
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Polynomial divided by monomial

Dividing multivariable polynomial with monomial
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Dividing multivariable polynomial with monomial

Dividing polynomials 1
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Dividing polynomials 1

Dividing polynomials with remainders
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Dividing polynomials with remainders

Synthetic Division
Basic algorithm for Synthetic Division

Synthetic Division Example 2
Another example of applying the basic synthetic division algorithm

Why Synthetic Division Works
Demonstrating why synthetic division gives you the same result as traditional algebraic long division

Factoring Sum of Cubes
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Factoring Sum of Cubes

Difference of Cubes Factoring
u12 l2 t3 we2 Difference of Cubes Factoring

Algebraic Long Division
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Dividing one polynomial into another

Algebra II: Simplifying Polynomials
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1722, simplifying polynomials and algebraic expressions
Dividing polynomials
You know what polynomials are. You know how to add, subtract, and multiply them. Unless you are completely incurious, you must be wondering how to divide them! In this tutorial we'll explore how we divide polynomialsboth through algebraic long division and synthetic division. (We like classic algebraic long division more since you can actually understand what you're doing.)