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Example: 4x2 + 36x + 81
1. Take the square root of the two outer terms.
4x2 = 2 Square2x Square root of
2. Multiple these terms together, then multiple by 2
(2x * 9) = 18x (* 2) = 36x [This should equal the middle term from your original equation]
4x2 - 36x + 81 = (2x - 9)2
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Here's another example: 4x2 + 12x + 9
Square root of 4x2= 2x Square root of 9 = 3
(2x * 3)
6x (* 2)
12x
(Since your sign is positive...)
4x2 + 12x + 9 = (2x + 3) 2

factor out tethe GCF
2x2-16x+6
2(x2-8x+3)
(2x-9)(2x+9)
Perfect Square Trinomials
9x2-24x+16
(3x-4)2
Trinomials where a=1
x2+15x+50
(x+5)(x+10)
Trinomials where a does not equal 1.
2x2+11x-30
(2x+15)(x-2)
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{http://courses.moodleshare.com/file.php/84/Image_Folder/GCF.jpg}
The GCF of a quadratic equation is the largest variable, number, or product of a number and variable that can go into each term
the equation can and needs to be simplified.has numbers that have a common value
For Example: 3x2+6y TheThe GCF is
3(x2+2y) Pull out the 3, and voila you have factored out the GCF
Example 2

The GCF of a quadratic equation is the largest variable, number, or product of a number and variable that can go into each term
You use this method when the equation can and needs to be simplified.
Example: 3x2+6y The The GCF is by
3(x2+2y) <------ pullPull out the 3, and voila you have factored out the GCF
Example 2
4x2-8x+20 2 and 4 are two numbers that can go into each term, however, since 4 is the larger of the 2, 4 is the GCF
4(x2-2x+5) Pull out the 4, TA DA!!!
Greatest Common Factor Game
http://www.math-play.com/Factors-and-Multiples-Jeopardy/Factors-and-Multiples-Jeopardy.html

‍‍‍‍‍‍‍‍‍‍‍‍Welcome‍‍‍‍‍‍‍‍‍‍‍‍‍Welcome to Grou‍‍‍‍‍‍‍‍‍‍‍‍pGrou‍‍‍‍‍‍‍‍‍‍‍‍‍p Six's Factoring
Here, we will show you step-by-step how to solve quadratic equations.
As you will see on the side bar to the left we have five different ways we can solve each.
{http://imgs.xkcd.com/comics/factoring_the_time.png}
Group Six Members:
Jocelyn Schueler
Ricky Jodts
Alex Keene
Gabby Lundy
Ricky
Alex
Gabby

4x2-81
(2x-9)(2x+9)
Perfect Square Trinomials

GCF- factor out te GCF
2x2-16x+6
2(x2-8x+3)
Difference of Squares
4x2-81
(2x-9)(2x+9)

‍‍‍‍‍‍‍‍‍‍‍Welcome‍‍‍‍‍‍‍‍‍‍‍‍Welcome to Grou‍‍‍‍‍‍‍‍‍‍‍pGrou‍‍‍‍‍‍‍‍‍‍‍‍p Six's Factoring
Here, we will show you step-by-step how to solve quadratic equations.
As you will see on the side bar to the left we have five different ways we can solve each.

‍‍‍‍‍‍‍‍‍‍Welcome‍‍‍‍‍‍‍‍‍‍‍Welcome to Grou‍‍‍‍‍‍‍‍‍‍pGrou‍‍‍‍‍‍‍‍‍‍‍p Six's Factoring
Here, we will show you step-by-step how to solve quadratic equations.
As you will see on the side bar to the left we have five different ways we can solve each.
{images.jpg}{arrow.jpg}
The first is **GCF or Greatest Common Factor**. You should always try this method first.
The second is Difference of Squares. You will recongnize when to do this because you will have only two terms and there will be a subtraction sign in between them.