1. Warm Up
Factor the following: a) b)

2. Factoring Polynomials (cont’d)
Lesson 6
Factoring Polynomials
(cont’d)

3. Factoring a Polynomial
Methods
1) Common Factor
2) Grouping
3) Difference of Squares
4) Perfect Square Trinomials
5) Product & Sum √ √ √ √

4. Product & Sum Method
This method can be used to factor a second degree trinomial only
Step 1: Identify the coefficients a, b, & c
Step 2: Find two integers m & n such that: mn = ac
m+n = b
Step 3: Change ax2 + bx + c to
ax2 + mx + nx + c
Step 4: Factor by grouping

5. Product & Sum Method a= b= c=
Ex.1 Factor Step 1: Step 2: Step 3: Change equation a= b= c=

6. Product & Sum Method
Ex. 1 Factor Step 4: Factor by grouping

7. Product & Sum Method a= b= c=
Ex. 2 Factor Step 1: Step 2: Step 3: Change equation a= b= c=

8. Product & Sum Method
Ex. 2 Factor Step 4: Factor by grouping

9. Product & Sum Method
Ex. 3 Factor:

10. Product & Sum Method
Ex. 4 Factor:

11. Product & Sum Method
Ex. 5 Factor:

12. Homework
Workbook
P. 21 #15
P. 22 #18 & 19