This worksheet provides a step-by-step guide on how to factor trinomials where a is greater than 1, including detailed examples and practice exercises.

1. 2x² - 3x - 2 = (2x + 1)(x - 2)
2. 3x² - 8x - 3 = (3x + 1)(x - 3)
3. 18x² - 3x - 10 = (3x - 2)(6x + 5)
4. 6x² + 3x - 3 = 3(2x - 1)(x + 1)
5. 3x² + 3x - 2 = not factorable over integers
6. 19x² - 27x - 5 = not factorable over integers
7. 3x³ - 5x + 2 = (x - 1)(3x² + 3x - 2)
8. 18x³ + 9x - 5 = not factorable over integers
9. 4x³ - 39x - 35 = (x - 5)(4x² + 20x + 7)
10. 8x³ - 4x - 24 = 4(2x³ - x - 6)
11. 20x³ + 90x - 25 = 5(4x³ + 18x - 5)
12. 6x³ + 23x - 18 = not factorable over integers
13. 3x³ - 6x - 28 = (x - 2)(3x² + 6x + 14)
14. 6x³ + 4x² - 3 = not factorable over integers
15. 4x³ - 5x² - 4x + 5 = (x - 1)(4x² - 5)
16. 10x³ - 11x² - 4x + 4 = (x - 2)(2x - 1)(5x + 2)
17. 3x³ - 7x + 18 = not factorable over integers
18. 2x³ - 7x² - 3x + 12 = (x - 3)(2x² - x - 4)
19. 4x³ - 30x² + 40x = 2x(2x - 5)(x - 4)
20. 12x³ - 4x² - 27x + 9 = (2x - 3)(2x + 3)(3x - 1)