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Solve a cubic equation when one root is known

11th grade (Year 12 in England) · 16 questions · Common Core: HSA.APR.B.3, HSN.CN.C.9 · England: A-level Pure Mathematics

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  1. Question 1

    x = 0 is a solution of x³ + 6x² + 8x = 0. Find all the solutions, separated by commas.

    x =

  2. Question 2

    Solve x³ − 3x² + 2x = 0. Give all the solutions, separated by commas.

    x =

  3. Question 3

    x = 1 is a solution of x³ + 2x² − 13x + 10 = 0. Find all the solutions, separated by commas.

    x =

  4. Question 4

    Solve x³ − x² − 20x = 0. Give all the solutions, separated by commas.

    x =

  5. Question 5

    x = −1 is a solution of x³ − 7x − 6 = 0. Find all the solutions, separated by commas.

    x =

  6. Question 6

    Solve x³ + 5x² − 6x = 0. Give all the solutions, separated by commas.

    x =

  7. Question 7

    x = 3 is a solution of x³ − 4x² + 3x = 0. Find all the solutions, separated by commas.

    x =

  8. Question 8

    Solve x³ − 7x² + 12x = 0. Give all the solutions, separated by commas.

    x =

  9. Question 9

    x = 0 is a solution of x³ − 25x = 0. Find all the solutions, separated by commas.

    x =

  10. Question 10

    Solve x³ + x² − 20x = 0. Give all the solutions, separated by commas.

    x =

  11. Question 11

    x = −1 is a solution of x³ + 2x² − 5x − 6 = 0. Find all the solutions, separated by commas.

    x =

  12. Question 12

    Solve x³ − 3x² − 4x = 0. Give all the solutions, separated by commas.

    x =

  13. Question 13

    x = 5 is a solution of x³ + 4x² − 25x − 100 = 0. Find all the solutions, separated by commas.

    x =

  14. Question 14

    Solve x³ − 3x² + 2x = 0. Give all the solutions, separated by commas.

    x =

  15. Question 15

    x = 4 is a solution of x³ + x² − 20x = 0. Find all the solutions, separated by commas.

    x =

  16. Question 16

    Solve x³ + x² − 30x = 0. Give all the solutions, separated by commas.

    x =

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  1. x = -4 or x = -2 or x = 0
  2. x = 0 or x = 1 or x = 2
  3. x = -5 or x = 1 or x = 2
  4. x = -4 or x = 0 or x = 5
  5. x = -2 or x = -1 or x = 3
  6. x = -6 or x = 0 or x = 1
  7. x = 0 or x = 1 or x = 3
  8. x = 0 or x = 3 or x = 4
  9. x = -5 or x = 0 or x = 5
  10. x = -5 or x = 0 or x = 4
  11. x = -3 or x = -1 or x = 2
  12. x = -1 or x = 0 or x = 4
  13. x = -5 or x = -4 or x = 5
  14. x = 0 or x = 1 or x = 2
  15. x = -5 or x = 0 or x = 4
  16. x = -6 or x = 0 or x = 5