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Factoring Quadratic ExpressionsUsing Different Methods

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By Chloe M, Ruth Anne K and Maddie SQuadratic Expressions:

Here is an example of a quadratic expression.

Here is an example of a quadratic expression.

This is the formula of a quadratic equation:

Five is not a quadratic equation.

This is a factored quadratic equation:

So how do you get from point A to point B?

FACTORING!

There are 2 methods to factoring:

The

"BOX"

Method

and the

"X"

Method

Let's discuss the box method first:

1: Draw a box and divide it evenly into 4 squares

2: Multiply "a" (x ) and "c" (4), thus telling you the number 4x . This number tells you what 2 numbers you need to put into the bottom left and top right.

2

2

3: Find 2 numbers that multiply together to make 4x and add to get the middle term (4x).

2

and

4. Put x into the top left and 4 into the bottom right.

2

5. Find what the terms across from each other have in common.

The answer will be

(x+2)(x+2)

(x+2)(x+2)

Now let's review the method.

"X"