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4.4 Solve Quadratic Equations by
Factoring
2
, 1ax bx c a  
2
11 44 0x  
 2
11 4 0x  
  11 2 2 0x x  
2, 2x  
2
45 10 0x x 
 5 9 2 0x x 
2
0,
9
x


2
4 12 9 0x x  
 
2
2 3 0x  
3
2
x


2
4 19 5y x x  
2
0 4 19 5x x  
  0 4 1 5x x  
1
, 5
4
x


 
1
,0 , 5,0
4
 
 
 
  2
5 27 18f x x x  
2
0 5 27 18x x  
  0 5 3 6x x  
3
, 6
5
x


 
3
,0 , 6,0
5
 
 
 
  2
11 19 6g x x x  
2
0 11 19 6x x  
  0 11 3 2x x  
3
, 2
11
x

  
3
,0 , 2,0
11
 
 
 
2
15 5 20y x x  
2
0 15 5 20x x  
 2
0 5 3 4x x  
  0 5 3 4 1x x  
4
, 1
3
x  
 
4
,0 , 1,0
3
 
 
 
  2
12 5 7h x x x  
2
0 12 5 7x x  
  0 1 12 7x x  
7
1,
12
x  
 
7
1,0 , ,0
12
 
  
 
2 2
13 21 5 22x x x   
2
18 21 22 0x x  
  3 2 6 11 0x x  
2 11
,
3 6
x


2 11
,0 , ,0
3 6
   
   
   
p. 263 #32-48 even, 50-55, 62-
63, 66-68
Assignment

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4.4.2 solve by factoring a~1

  • 1. 4.4 Solve Quadratic Equations by Factoring 2 , 1ax bx c a  
  • 2. 2 11 44 0x    2 11 4 0x     11 2 2 0x x   2, 2x  
  • 3. 2 45 10 0x x   5 9 2 0x x  2 0, 9 x  
  • 4. 2 4 12 9 0x x     2 2 3 0x   3 2 x  
  • 5. 2 4 19 5y x x   2 0 4 19 5x x     0 4 1 5x x   1 , 5 4 x     1 ,0 , 5,0 4      
  • 6.   2 5 27 18f x x x   2 0 5 27 18x x     0 5 3 6x x   3 , 6 5 x     3 ,0 , 6,0 5      
  • 7.   2 11 19 6g x x x   2 0 11 19 6x x     0 11 3 2x x   3 , 2 11 x     3 ,0 , 2,0 11      
  • 8. 2 15 5 20y x x   2 0 15 5 20x x    2 0 5 3 4x x     0 5 3 4 1x x   4 , 1 3 x     4 ,0 , 1,0 3      
  • 9.   2 12 5 7h x x x   2 0 12 5 7x x     0 1 12 7x x   7 1, 12 x     7 1,0 , ,0 12       
  • 10. 2 2 13 21 5 22x x x    2 18 21 22 0x x     3 2 6 11 0x x   2 11 , 3 6 x   2 11 ,0 , ,0 3 6            
  • 11. p. 263 #32-48 even, 50-55, 62- 63, 66-68 Assignment