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因式分解: 23. x2-20x+100 24. x2+2x+1 25. x2-10x+25 26. 9x2+6x+1 27. 4x2-12x+9 46. x2-21x-100 47. 2x2+7x+3 48. 9x2+18x+8 49. 10x2+19x+6 50. 5x2+16x+12 5. 2x2-x 6. x(x+1)+x(x+2) 7. (x+2)(x-3)+(x+2)(x+4) 8. 2x+x2 9. (x+1)x-3x 10. (2x+1)(x+1)+(2x+1)(x-3) 11. x2-3x-bx+3b 28. 4x2+4x+1 29. 25x2-20x+4 30. 16x2-9 31. x2+14x+49 32. 9x2-30x+25 33. x2+8x+7 34. x2+3x+2 51. 6x2+23x+15 52. 4x2-4x+1 53. 6x2-11x+4 54. 12x2-29x+15 55. 39x2-38x+8 56. 5x2+7x-6 57. 3x2-4x-4 12. x2-ax+2x-2a 13. (x+2)2+2x(x+2) 35. x2+9x+18 36. x2+12x+20 58. 2x2+5x-3 59. 3x2-4x-7 14. 2x2+ax-6x-3a 15. x2-81 16. 4x2-9 17. x2-1 18. x2-49 37. x2-7x+6 38. x2-16x+15 39. x2-8x+12 40. x2+3x-10 41. x2+19x-20 60. 36x2+39x+9 61. x2+11x+24 62. x2-3x-40 63. 15x2+x-2 64. 21x2-31x-22 19. 36-25x2 20. 8-2x2 21. 3x2-27 22. x2+8x+16 42. x2+4x-12 43. x2-13x-30 44. x2-x-2 45. x2-4x-60 65. 12x2-50x+8 1. 2. 3. 4. 3x2+x 2ax2+6ax ax2-x 3bx2-6bx 解下列方程式: 1. 2. 3. 4. 2 2x -5x=0 x2-9=0 9x2=4x x2-4=0 2 23. 2x2-5x+2=0 24. (5x+2)(x-2)=17 25. (3x+1)2=4 26. (x-1)2=2(x2-1) 27. 2(x-1)(x-3)=5x 2 5. 2x +7x+6=0 6. 5x2-8x=21 7. x2-3x-4=0 8. 2x2-3=5 9. 4x2+4x-15=0 10. 6x2-7x-3=0 11. 12x2-23x=24 28. 3x -7x+1=2x+13 12. 4x2+4x+1=0 13. 2x2+18=12x 3. 3 2 5 7 7 11 4. 5 5. 2 7 3 5 2 14. x -4x+4=0 15. 3x2+18x+27=0 16. 3x2-4x-1=-9x-3 17. x2-4x+4=4x+4 18. 7x2+6=2x+11 19. (2x+3)(x+1)=1 20. (x+5)(x+3)=8 21. x2+6x+9=0 22. 4x2+6x=0 求下列各式之值: 1. 2. 6. 7. 3 15 2 2 3 48 3 6 2 3 8. 9. 14 7 5 30 12 3 1 2 10. 18 11. 2 7 3 5