MATH 100
University of Washington
Factoring Practice
Instructions: These practice sheets are design to reinforce your fluency in basic algebra since it is assumed that you have no prior knowledge of algebra in this unit. In each question you will be asked to factorise the quadratic expression. This is one of the hardest skills in algebra to master.
Good luck!
Q1. -60x^2 + 161x + 11
ans = (4x + -11)(-15x + -1)
Q2. 40x^2 + -56x + 0
ans = (4x + 0)(10x + -14)
Q3. -143x^2 + -243x + -90
ans = (-11x + -6)(13x + 15)
Q4. -90x^2 + 24x + 66
ans = (-6x + 6)(15x + 11)
Q5. 105x^2 + -176x + -105
ans = (-7x + 15)(-15x + -7)
Q6. 54x^2 + -105x + -75
ans = (-9x + -5)(-6x + 15)
Q7. -64x^2 + 32x + 60
ans = (-8x + -6)(8x + -10)
Q8. 28x^2 + -84x + -112
ans = (-14x + -14)(-2x + 8)
Q9. 196x^2 + -308x + 120
ans = (14x + -12)(14x + -10)
Q10. 88x^2 + 121x + 0
ans = (-8x + -11)(-11x + 0)
Q11. 84x^2 + -124x + -168
ans = (-6x + 14)(-14x + -12)
Q12. 0x^2 + -88x + -33
ans = (0x + -11)(8x + 3)
Q13. 35x^2 + 0x + -35
ans = (-7x + -7)(-5x + 5)
Q14. 110x^2 + 174x + 28
ans = (11x + 2)(10x + 14)
Q15. 156x^2 + 148x + 32
ans = (12x + 4)(13x + 8)
Q16. 28x^2 + 77x + -105
ans = (4x + 15)(7x + -7)
Q17. -18x^2 + 9x + 77
ans = (-6x + -11)(3x + -7)
Q18. 0x^2 + -63x + 98
ans = (9x + -14)(0x + -7)
Q19. -44x^2 + -76x + -32
ans = (11x + 8)(-4x + -4)
Q20. 63x^2 + -86x + -105
ans = (-9x + -7)(-7x + 15)
Q21. -15x^2 + 76x + -96
ans = (-5x + 12)(3x + -8)
Q22. 98x^2 + -7x + -28
ans = (14x + 7)(7x + -4)
Q23. -126x^2 + -49x + 56
ans = (-14x + 7)(9x + 8)
Q24. -56x^2 + -194x + 60
ans = (14x + -4)(-4x + -15)
Q25. 120x^2 + 60x + 0
ans = (-15x + 0)(-8x + -4)
Q26. -150x^2 + 330x + -180
ans = (-10x + 12)(15x + -15)
Q27. -45x^2 + 70x + 0
ans = (-5x + 0)(9x + -14)
Q28. 80x^2 + 120x + 0
ans = (-8x + -12)(-10x + 0)
Q29. 196x^2 + 56x + -5
ans = (14x + 5)(14x + -1)
Q30. 12x^2 + -92x + 91
ans = (-2x + 13)(-6x + 7)
Q31. 72x^2 + -6x + -78
ans = (-12x + 13)(-6x + -6)
Q32. 32x^2 + -28x + 6
ans = (-8x + 3)(-4x + 2)
Q33. 48x^2 + -148x + 90
ans = (12x + -10)(4x + -9)
Q34. 20x^2 + -136x + -28
ans = (-10x + -2)(-2x + 14)
Q35. -90x^2 + -276x + -210
ans = (9x + 15)(-10x + -14)
Q36. -72x^2 + -98x + -10
ans = (-9x + -1)(8x + 10)
Q37. 195x^2 + -129x + 18
ans = (15x + -3)(13x + -6)
Q38. -143x^2 + 42x + 5
ans = (11x + 1)(-13x + 5)
Q39. -121x^2 + 220x + -99
ans = (-11x + 9)(11x + -11)
Q40. 24x^2 + 180x + 84
ans = (-12x + -6)(-2x + -14)
Q41. -56x^2 + 36x + 0
ans = (-4x + 0)(14x + -9)
Q42. 48x^2 + 20x + -12
ans = (4x + 3)(12x + -4)
Q43. 50x^2 + 105x + -98
ans = (-10x + 7)(-5x + -14)
Q44. -117x^2 + -43x + 4
ans = (-9x + -4)(13x + -1)
Q45. -12x^2 + -43x + -10
ans = (-4x + -1)(3x + 10)
Q46. -4x^2 + 16x + 33
ans = (2x + -11)(-2x + -3)
Q47. 0x^2 + -140x + -120
ans = (0x + 10)(-14x + -12)
Q48. 165x^2 + -62x + -7
ans = (-15x + 7)(-11x + -1)
Q49. -120x^2 + -270x + -135
ans = (-10x + -15)(12x + 9)
Q50. -12x^2 + -86x + -14
ans = (-12x + -2)(1x + 7)
Q51. -4x^2 + -4x + 0
ans = (1x + 0)(-4x + -4)
Q52. 18x^2 + 45x + 22
ans = (-3x + -2)(-6x + -11)
Q53. 169x^2 + 169x + 22
ans = (-13x + -11)(-13x + -2)
Q54. -56x^2 + -146x + -84
ans = (-8x + -14)(7x + 6)
Q55. -64x^2 + -16x + 80
ans = (8x + 10)(-8x + 8)
Q56. -70x^2 + -1x + 35
ans = (-10x + 7)(7x + 5)
Q57. 42x^2 + -55x + -78
ans = (-7x + -6)(-6x + 13)
Q58. 48x^2 + -58x + -126
ans = (8x + 9)(6x + -14)
Q59. 60x^2 + -82x + -30
ans = (-10x + -3)(-6x + 10)
Q60. 2x^2 + 28x + 66
ans = (-1x + -11)(-2x + -6)
Q61. -84x^2 + 35x + 0
ans = (12x + -5)(-7x + 0)
Q62. -40x^2 + 124x + -96
ans = (-5x + 8)(8x + -12)
Q63. 0x^2 + 75x + -195
ans = (0x + -15)(-5x + 13)
Q64. 26x^2 + -160x + 24
ans = (-2x + 12)(-13x + 2)
Q65. 117x^2 + 67x + 6
ans = (-13x + -6)(-9x + -1)
Q66. 15x^2 + 62x + 56
ans = (3x + 4)(5x + 14)
Q67. -54x^2 + 36x + 18
ans = (-6x + 6)(9x + 3)
Q68. 70x^2 + -166x + -84
ans = (14x + 6)(5x + -14)
Q69. -13x^2 + 60x + -32
ans = (1x + -4)(-13x + 8)
Q70. 0x^2 + -81x + -117
ans = (-9x + -13)(0x + 9)
Q71. -120x^2 + 37x + 70
ans = (8x + 5)(-15x + 14)
Q72. -54x^2 + 51x + 39
ans = (6x + 3)(-9x + 13)
Q73. 0x^2 + -13x + -6
ans = (0x + 1)(-13x + -6)
Q74. 8x^2 + -48x + -56
ans = (4x + 4)(2x + -14)
Q75. -24x^2 + -106x + -112
ans = (-8x + -14)(3x + 8)
Q76. -13x^2 + 56x + 45
ans = (13x + 9)(-1x + 5)
Q77. -40x^2 + -2x + 3
ans = (10x + 3)(-4x + 1)
Q78. -8x^2 + -14x + 4
ans = (-2x + -4)(4x + -1)
Q79. -20x^2 + 88x + 121
ans = (10x + 11)(-2x + 11)
Q80. 50x^2 + -115x + -70
ans = (5x + -14)(10x + 5)
Q81. 8x^2 + -64x + 110
ans = (4x + -10)(2x + -11)
Q82. 168x^2 + 170x + -13
ans = (-12x + -13)(-14x + 1)
Q83. 30x^2 + 85x + 35
ans = (-10x + -5)(-3x + -7)
Q84. 28x^2 + 24x + -64
ans = (4x + 8)(7x + -8)
Q85. -72x^2 + 9x + 81
ans = (-9x + -9)(8x + -9)
Q86. 0x^2 + 15x + 10
ans = (0x + 1)(15x + 10)
Q87. 105x^2 + -168x + 63
ans = (-7x + 7)(-15x + 9)
Q88. -48x^2 + -66x + 135
ans = (8x + -9)(-6x + -15)
Q89. -13x^2 + 38x + 56
ans = (-1x + 4)(13x + 14)
Q90. -28x^2 + 11x + -1
ans = (-7x + 1)(4x + -1)
Q91. 98x^2 + -49x + -130
ans = (-14x + -13)(-7x + 10)
Q92. -70x^2 + 89x + -28
ans = (-7x + 4)(10x + -7)
Q93. 0x^2 + 65x + 15
ans = (0x + -5)(-13x + -3)
Q94. 15x^2 + 2x + -112
ans = (-3x + 8)(-5x + -14)
Q95. 70x^2 + -30x + -40
ans = (10x + -10)(7x + 4)
Q96. -12x^2 + 138x + 72
ans = (-1x + 12)(12x + 6)
Q97. 5x^2 + 0x + -20
ans = (5x + -10)(1x + 2)
Q98. -120x^2 + -257x + -60
ans = (-15x + -4)(8x + 15)
Q99. -126x^2 + -281x + -143
ans = (-14x + -11)(9x + 13)