Box method is very popular factoring method. If you have already learn this method you should practice regularly. Here we have provided some box factoring worksheets for you.
Box Factoring Worksheet
1. x² + 3x + 2
2. x² + 5x – 24
3. x² + 7x + 10
4. x² + 8x + 15
5. x² + 4x – 21
6. 2x² + 6x – 8
7. 2x² + 11x + 5
8. x² + 4x – 32
9. x² + 2x – 35
10. x² + 8x + 12
Answers
1. x² + 3x + 2
| x | 2 | |
| x | x2 | 2x |
| 1 | x | 2 |
| 2 | 2 x 1 |
Answer :: x² + 3x + 2 = (x + 1) (x + 2)
2. x² + 5x – 24
| x | 8 | |
| x | x2 | 8x |
| -3 | –3x | –24 |
| 24 | 3 × 8 |
| 24 | 4 × 6 |
| 24 | 2 × 12 |
Answer :: x² + 5x – 24= (x + 8) (x – 3)
3. x² + 7x + 10
| x | 5 | |
| x | x2 | 5x |
| 2 | 2x | 10 |
| 10 | 5 × 2 |
| 10 | 10 × 1 |
Answer :: x² + 7x + 10 = (x + 2) (x + 5)
4. x² + 8x + 15
| x | 5 | |
| x | x2 | 5x |
| 3 | 3x | 15 |
| 15 | 3 × 5 |
| 15 | 15 × 1 |
Answer :: x² + 8x + 15 = (x +3) (x + 5)
5. x² + 4x – 21
| x | 7 | |
| x | x2 | 7x |
| -3 | –3x | 21 |
| 21 | 3 × 7 |
| 21 | 21× 1 |
Answer :: x² + 4x – 21= (x + 7) (x -3)