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Solve quadratic equations by factoring

Year 12 maths · Fieldbook Learning

Name ______________________ Date __________

Find two numbers that multiply to the constant and add to the x coefficient.

  1. Solve by factoring: x² − 7x − 18 = 0
  2. Solve by factoring: x² − 15x + 56 = 0
  3. Solve by factoring: x² − 9x + 20 = 0
  4. Solve by factoring: x² + 3x + 2 = 0
  5. Solve by factoring: x² + 2x − 48 = 0
  6. Solve by factoring: x² − x = 0
  7. Solve by factoring: x² − 13x + 40 = 0
  8. Solve by factoring: x² − 7x = 0
  9. Solve by factoring: x² − 14x + 48 = 0
  10. Solve by factoring: x² − 2x − 15 = 0
  11. Solve by factoring: x² + x − 72 = 0
  12. Solve by factoring: x² − 7x + 10 = 0
  13. Solve by factoring: x² − 9x + 18 = 0
  14. Solve by factoring: x² + x − 42 = 0
  15. Solve by factoring: x² − 3x + 2 = 0
  16. Solve by factoring: x² + 11x + 30 = 0
  17. Solve by factoring: x² − x − 6 = 0
  18. Solve by factoring: x² + 11x + 28 = 0
  19. Solve by factoring: x² + 11x + 24 = 0
  20. Solve by factoring: x² + 8x + 12 = 0
More free practice: fieldbooklearning.com/uk/practice/year-12/solve-quadratic-equations-by-factoring/

Answer key: Solve quadratic equations by factoring

  1. -2, 9
  2. 7, 8
  3. 4, 5
  4. -2, -1
  5. -8, 6
  6. 0, 1
  7. 5, 8
  8. 0, 7
  9. 6, 8
  10. -3, 5
  11. -9, 8
  12. 2, 5
  13. 3, 6
  14. -7, 6
  15. 1, 2
  16. -6, -5
  17. -2, 3
  18. -7, -4
  19. -8, -3
  20. -6, -2