1. 4.3 Factoring
Factor trinomial expressions
into two binomial expressions

2. Warm-up - Multiply
  4 3x x 
  5 7x x 
  6 9x x 
2
12 35x x 
2
12x x 
2
15 54x x 

3. Un-Multiply (aka “factor”)
2
5 6x x 
  xx 32

4. Un-Multiply (aka “factor”)
2
5 6x x 
  xx 32 
2 3
   2 3  
2 3x x
   2 3x x  

5. Factor
2
7 6x x 
  xx 61 
1 6
   1 6  
1 6x x
   1 6x x  

6. Factor
2
6x x 
  xx 32 
   2 3 
   2 3 
2 3x x 
   2 3x x 

7. Factor – now you try…
2
5 6x x 
  6 1x x 
2
4 12x x 
  6 2x x 

8. Special factoring patterns
 Difference of Squares
 Perfect Square Trinomial
  2 2
a b a b a b   
 
22 2
2a ab b a b   
 
22 2
2a ab b a b   

9. Factor
2
100x 
  10 10x x 
2
20 100x x 
 
2
10x 

10. Factor – now you try…
2
36x 
  6 6x x 
2
2 1x x 
 
2
1x 

11. Factor – How about this one?
2
9 12x x 
cannot be factored
2
30x x 
  5 6x x 

12. Assignment
p. 255 # 1 - 23