1. Do Now
Determine if the following are perfect squares. If yes, identify the positive square root.
225 60
9/16

2. Factoring
Special Products

3. A “Difference of Squares” is a binomial (. 2 terms only
A “Difference of Squares” is a binomial (*2 terms only*) and it factors like this:

4. Factoring a polynomial means expressing it as a product of other polynomials.

5. Factoring polynomials that are a difference of squares.
Factoring Method
Factoring polynomials that are a difference of squares.

6. To factor, express each term as a square of a monomial then apply the rule...

7. Here is another example:

8. Try these on your own:

9. Factoring Technique continued
Factoring a perfect square trinomial in the form:

10. Perfect Square Trinomials can be factored just like other trinomials (guess and check), but if you recognize the perfect squares pattern, follow the formula!

11. a b
Does the middle term fit the pattern, 2ab?
Yes, the factors are (a + b)2 :

12. a b
Does the middle term fit the pattern, 2ab?
Yes, the factors are (a - b)2 :

13. Try these examples:
16x4 – 81
4x2 – 1/9

14. Factoring Technique #4
Factoring By Grouping
for polynomials
with 4 or more terms

15. Factoring By Grouping
1. Group the first set of terms and last set of terms with parentheses.
2. Factor out the GCF from each group so that both sets of parentheses contain the same factors.
3. Factor out the GCF again (the GCF is the factor from step 2).

16. Step 2: Factor out GCF from each group
Example 1:
Step 1: Group
Step 2: Factor out GCF from each group
Step 3: Factor out GCF again

17. Example 2:

18. Try these on your own:

19. Answers: