Khan Academy on a Stick
Quadratics and polynomials
We'll now progress beyond the world of purely linear expressions and equations and enter the world of quadratics (and more generally polynomials). Here we'll learn to factor expression that have powers of 2 in them and solve quadratic equations. We'll also learn to manipulate more general polynomial expressions.
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Factoring linear binomials
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Factoring and the distributive property 2
Factoring and the Distributive Property 2
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Factor expressions using the GCF
Factor expressions using the GCF
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Factoring and the distributive property 3
Factoring and the Distributive Property 3
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).
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Multiplying binomials and polynomials
Multiplying binomials
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FOIL for multiplying binomials
FOIL method for multiplying binomials
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Multiplying binomials with radicals
Multiplying Binomials with Radicals
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Square a binomial
Square a Binomial
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Special products of binomials
Special Products of Binomials
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Multiplying binomials to get difference of squares
Multiplying binomials to get difference of squares
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Squaring a binomial
Squaring a binomial
Multiplying binomials
In this tutorial you'll learn that multiplying things like (4x-7)(-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).
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Factoring quadratic expressions
Factoring Quadratic Expressions
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Examples: Factoring simple quadratics
A few examples of factoring quadratics
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Example 1: Factoring quadratic expressions
Factoring trinomials with a leading 1 coefficient
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Example 1: Factoring trinomials with a common factor
Factoring trinomials with a common factor
Factoring quadratic expressions
Not only is factoring quadratic expressions (essentially second-degree 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!
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Factoring special products
Factoring Special Products
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Example 1: Factoring difference of squares
Factoring difference of squares
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Example 2: Factoring difference of squares
Factoring difference of squares
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 difference-of-squares and perfect square quadratics.
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Solving a quadratic equation by factoring
U09_L2_T2_we1 Solving Quadratic Equations by Factoring.avi
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Finding dimensions of triangle from area
Applications Problem Factoring Quadratics
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Dimensions from volume of box
U09_L2_T2_we3 Solving Quadratic Equations by Factoring 3
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Recognizing a perfect square quadratic
U09_L2_T2_we2 Solving Quadratic Equations by Factoring 2.avi
Solving quadratics by factoring
Just saying the word "quadratic" will make you feel smart and powerful. Try it. Imagine how smart and powerful you would actually be if you know what a quadratic is. Even better, imagine being able to completely dominate these "quadratics" with new found powers of factorization. Well, dream no longer. This tutorial will be super fun. Just bring to it your equation solving skills, your ability to multiply binomials and a non-linear way of thinking!
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Addition and subtraction of polynomials
Addition and Subtraction of Polynomials
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Terms coefficients and exponents in a polynomial
Terms coefficients and exponents in a polynomial
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Simplify a polynomial
Working through simplifying a polynomial
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Adding polynomials
Adding Polynomials
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Adding and subtracting polynomials 1
Adding and Subtracting Polynomials 1
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Adding and subtracting polynomials 2
Adding and Subtracting Polynomials 2
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." :)