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Worksheet

Remainder Theorem

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Show your work for each problem.

  1. 1.
    According to the Remainder Theorem, when is divided by , what is the remainder?
    1. a)
    2. b)
    3. c)
    4. d)
  2. 2.
    Find the remainder when is divided by .
  3. 3.
    When dividing by , what value should you substitute into to find the remainder?
    1. a)
    2. b)
    3. c)
    4. d)
  4. 4.
    Find the remainder when is divided by .
  5. 5.
    Find the remainder when is divided by .
  6. 6.
    Find the remainder when is divided by .
  7. 7.
    What is the remainder when is divided by ?
    1. a)
    2. b)
    3. c)
    4. d)
  8. 8.
    Find the remainder when is divided by .
  9. 9.
    If is a factor of , what is ?
    1. a)
    2. b)
    3. c)
    4. d)
  10. 10.
    Is a factor of ? Use the Remainder Theorem to verify.
  11. 11.
    Find the remainder when is divided by .
  12. 12.
    If has remainder when divided by both and , find .
  13. 13.
    Find the remainder when is divided by .
  14. 14.
    What is the remainder when is divided by ?
    1. a)
    2. b)
    3. c)
    4. d)
  15. 15.
    If has remainder when divided by , find .
  16. 16.
    The polynomial is divisible by . What is ?
    1. a)
    2. b)
    3. c)
    4. d)
  17. 17.
    Find the remainder when is divided by .
  18. 18.
    Find the remainder when is divided by .
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/algebra/polynomials/remainder-theorem