University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2024
Views:

166

Pages:

2
Author:

behend6abs

**Algebra 2** **Factoring Practice Day 3 Worksheet** **Name:** **Date:** **Hour:** **Solve by factoring.** 1. n^2 + 7n - 8 = 0 (n + 8)(n - 1) = 0 n = -8, 1 2. p^2 + 12p + 36 = 0 (p + 6)^2 = 0 p = -6 3. n^2 + 2n - 48 = 0 (n + 8)(n - 6) = 0 n = -8, 6 4. b^2 + 5b - 14 = 0 (b + 7)(b - 2) = 0 b = -7, 2 5. p^2 = -18 - 9p p^2 + 9p + 18 = 0 (p + 3)(p + 6) = 0 p = -3, -6 6. k^2 = 3k + 18 k^2 - 3k - 18 = 0 (k - 6)(k + 3) = 0 k = 6, -3 7. yk^2 = -21 + 10k yk^2 - 10k + 21 = 0 (k - 7)(k - 3) = 0 k = 7, 3 8. 7a^2 + 9a - 10 = 0 (7a - 5)(a + 2) = 0 a = 5/7, -2 9. 3n^2 + n = 0 n(3n + 1) = 0 n = 0, -1/3 10. 2n^2 + 23n + 56 = 0 (2n + 7)(n + 8) = 0 n = -7/2, -8 11. 5x^2 - 14x - 24 = 0 (5x + 6)(x - 4) = 0 x = -6/5, 4 12. 6x^2 + 19x = 7 6x^2 + 19x - 7 = 0 (6x - 1)(x + 7) = 0 x = 1/6, -7 15. 4x^2 = 1 0 = 4x^2 - 1 0 = (2x - 1)(2x + 1) x = 1/2, -1/2 16. x^2 + 8x = -16 x^2 + 8x + 16 = 0 (x + 4)^2 = 0 x = -4 17. x^2 + 49 = 0 (x + 7i)(x - 7i) = 0 18. 9x^2 - 6x + 1 = 0 (3x - 1)^2 = 0 x = 1/3 **Factor-Look for Special Cases!** 19. x^2 - 16 (x + 4)(x - 4) 20. 9x^2 - 25 (3x + 5)(3x - 5) 21. 4x^2 - 25 (2x + 5)(2x - 5) 22. 6x^2 - 6y^2 6(x^2 - y^2) 6(x - y)(x + y) 23. 1/25 - t^2 (1/5 - t)(1/5 + t) 24. a^4 - 1 (a^2 + 1)(a^2 - 1) (a^2 + 1)(a + 1)(a - 1) 25. 1/4p^2 - 2/5p + 4/25 (1/2p - 2/5)^2 26. 9x^2 + 30x + 25 (3x + 5)^2 27. 8x^3 + 125 (2x + 5)(4x^2 - 10x + 25) 28. x^3 - 27 (x - 3)(x^2 + 3x + 9)