Factoring practice

Factor the following polynomials (as fully as possible).
  1. x2 + 3 x - 10
  2. x2 + 2 x - 24
  3. x2 - 9 x + 18
  4. 2 x2 - 5 x - 12
  5. x2 + 4 x + 6
  6. 3 x2 + 5 x + 2
  7. x2 + 1.5 x - 10
  8. x2 - x + 9
  9. 8 x2 - 62 x + 99
  10. 24 x2 - 22 x - 35
  11. 2x3 + 3 x2 - 17 x - 30
  12. x3 - 3 x2 - x + 3
  13. x3 + 4 x2 - 7 x + 2
  14. 18 x3 - 57 x2 - 85 x + 100


 

Answers

  1. (x - 2) (x + 5)
  2. (x - 4) (x + 6)
  3. (x - 3) (x - 6)
  4. (x - 4) (2 x + 3)
  5. It is as factored as it gets.
  6. (3 x + 2) (x + 1)
  7. (2 x + 5) (0.5 x - 2)
  8. It is as factored as it gets.
  9. (4 x - 9) (2 x - 11)
  10. (4 x - 7) (6 x + 5)
  11. (x - 3) (2 x + 5) (x + 2)
  12. (x - 1) (x + 1) (x - 3)
  13. (x - 1) (x2 + 5 x - 2) is as factored as it gets.
  14. (x - 4) (3 x + 5) (6 x - 5)