1. Notes 8.7 – FACTORING SPECIAL CASES

2. I. Perfect Square Trinomials
Recall: The Square of a Binomial
The of a binomial is the SQUARE of the FIRST term plus the PRODUCT of the terms plus the SQUARE of the LAST term.
Therefore something like , can be factored
to be
SQUARE
TWICE

3. FIRST LAST SECOND SQUARE How to recognize perfect square trinomials:
1.) The and terms are perfect squares!
SECOND
SQUARE
2.) The term is twice the product of their roots.
Example: What is the factored form of

4. Example: What is the factored form of
Since b is negative, we need to use the
negative square root of c.

5. Example: What is the factored form of
Since b is negative, we need to use the
negative square root of c.

6. II. The Difference of Two Squares
Recall: Product of a Sum and Difference
The of a pair of binomials that is a SUM and a DIFFERENCE of the same two terms is the
of their .
 Therefore something like , can be factored to be
PRODUCT
DIFFERENCE
SQUARES

7. Example: What is the factored form of
THERE IS NO SUM OF SQUARES!!!!

8. Homework :
Tonight: Section pages #’s even