**Factoring Questions:**

1) Factor:

Step 1: This expression is the difference of two perfect squares. You can identify this type of problem by looking to see if there are only two terms, each is a perfect square, and the operation is subtraction.

Step 2: Identify the square root of term c. (There is no term b when you are performing a factoring operation on the difference of two perfect squares.) Square root of 100 is 10.

Step 3: Set up. ( )( )

Step 4: Since this is the difference of two perfect squares you will have to use an addition in one set of parenthesis, and a subtraction in the other. ( + )( - )

Step 5: What are the factors of the first term? (X + )(X - )

Step 6: Using the square roots of the c term which you found in Step 2, complete the problem. (X+10)(X-10)

2) Factor:

3) Factor:

4) Factor:

5) Factor:

Calculator Lesson for checking factoring.

1) Enter your quadratic equation onto the homescreen.

2) Click on 2nd, Math, =. (This will bring you to the test menu, and you are selecting = to determine whether you have factored correctly.)

3) Enter the factoring you believe is correct.

4) Click Enter.

If you have factored correctly, the screen will display 1 as the answer. Ifyou have factored incorrectly, the screen will display 0 as an answer. This is a great way to check your work.

**Factoring Answer Key:**

2. (x + 6)(x - 6)

3. (x + 7)(x - 7)

4. (x + 15)(x - 15)

5. (x + 20)(x - 20)

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