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2
1
ax bx c
a
 

2
3 7 4x x 
  3 4
12
1 12 13 
2 6 8 
3 4 7 
  3x x 14
2
6 5 1x x    6 1
6
1 6 7 
2 3 5 
  2x 3x 11
2
15 2 8x x 
  15 8
120
1 120 119  
2 60 58  
  5x 3x 24 3 40 37  
4 30 26  
5 24 19  
6 20 14  
8 15 7  
10 12 2  
2
14 3x x    14 3
42
42 1 41 
21 2 19 
14 3 11 
7 6 1 
  7x 2x 13
2
5 4 7x x    5 7
35
35 1 34 
7 5 2 
2
4 25x    2 2
a b a b a b   
  2x 2x5 5  
22
4 2x x
 
2
25 5
2
16 8 1x x   
22 2
2a ab b a b   
 
2
4x 1  
22
16 4x x
 
2
1 1
  2 4 1 8x x
2
12 4 40x x 
 2
4 3 10x x 
  4 3 5 2x x 
30
5 6 12  
2
32 2x 
 2
2 16 1x 
  2 4 1 4 1x x 
2
12 36 27x x 
 2
3 4 12 9x x 
 
2
3 2 3x 
2
21 77 28x x 
 2
7 3 11 4x x 
  7 3 1 4x x 
2
8 28 60x x  
 2
4 2 7 15x x  
30
1 30 31   
2 15 17   
3 10 13   
5 6 11   
p. 263 # 1 - 31 odd

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4.4.1 factoring, a ~ 1

  • 2. 2 3 7 4x x    3 4 12 1 12 13  2 6 8  3 4 7    3x x 14
  • 3. 2 6 5 1x x    6 1 6 1 6 7  2 3 5    2x 3x 11
  • 4. 2 15 2 8x x    15 8 120 1 120 119   2 60 58     5x 3x 24 3 40 37   4 30 26   5 24 19   6 20 14   8 15 7   10 12 2  
  • 5. 2 14 3x x    14 3 42 42 1 41  21 2 19  14 3 11  7 6 1    7x 2x 13
  • 6. 2 5 4 7x x    5 7 35 35 1 34  7 5 2 
  • 7. 2 4 25x    2 2 a b a b a b      2x 2x5 5   22 4 2x x   2 25 5
  • 8. 2 16 8 1x x    22 2 2a ab b a b      2 4x 1   22 16 4x x   2 1 1   2 4 1 8x x
  • 9. 2 12 4 40x x   2 4 3 10x x    4 3 5 2x x  30 5 6 12  
  • 10. 2 32 2x   2 2 16 1x    2 4 1 4 1x x 
  • 11. 2 12 36 27x x   2 3 4 12 9x x    2 3 2 3x 
  • 12. 2 21 77 28x x   2 7 3 11 4x x    7 3 1 4x x 
  • 13. 2 8 28 60x x    2 4 2 7 15x x   30 1 30 31    2 15 17    3 10 13    5 6 11   
  • 14. p. 263 # 1 - 31 odd