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Worksheet

Factoring by Grouping

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Class:
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Show your work for each problem.

  1. 1.
    What is the first step in factoring by grouping?
    1. a)Find the GCF of all terms
    2. b)Add all coefficients
    3. c)Multiply the binomials
    4. d)Group the terms in pairs
  2. 2.
    When factoring , what is the GCF of the first group ?
    1. a)
    2. b)
    3. c)
    4. d)
  3. 3.
    What is the GCF of ?
  4. 4.
    After factoring , what is the common binomial factor?
    1. a)
    2. b)
    3. c)
    4. d)
  5. 5.
    Factor completely: . Write the answer in the form .
  6. 6.
    Factor:
  7. 7.
    Factor:
  8. 8.
    Factor:
  9. 9.
    When factoring , what should you factor out from the second group to match the binomial from the first group?
    1. a)
    2. b)
    3. c)
    4. d)
  10. 10.
    Factor:
  11. 11.
    Factor:
  12. 12.
    Factor:
  13. 13.
    Factor completely:
  14. 14.
    Factor:
  15. 15.
    Which polynomial CANNOT be factored by grouping?
    1. a)
    2. b)
    3. c)
    4. d)
  16. 16.
    Factor completely:
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/algebra/factoring/factoring-by-grouping