Factoring a GCF From an Expression

Factor a Greatest Common Factor (GCF) from each expression.

Checking Your Answers

Click “Show Answer” underneath the problem to see the answer. Or click the “Show Answers” button at the bottom of the page to see all the answers at once.

If you need assistance with a particular problem, click the “step-by-step” link for an in depth solution.

Example:

Equation: 4x^3 + 2x^2 + 2x
Answer: 2x(2x^2 + x + 1)
Show step-by-step

Quiz:

  1. Equation: x^3 + x^2 + x

  2. Equation: 15a + 12b + 6c

  3. Equation: 8x^2 - 18y^2

  4. Equation: x^2y + 2y

  5. Equation: z^3 + 4z^2

  6. Equation: 4x^2 - 4x

  7. Equation: 15x^2 - 50x - 10

  8. Equation: 121a - 11b

  9. Equation: 64c^3 - 56c^2 + 88c

  10. Equation: 10 - 10n + 10n^2

  11. Equation: 18k + 36k^2 + 9k^3

  12. Equation: 33q^3 + 33q^2r + 33qr^2

  13. Equation: 18kxy + 4xy + 2k^2xy

  14. Equation: a^3b^2 + a^3b^4 + ab^4
    Answer: ab^2(a^2 + a^2b^2 + b^2)
    Hide answer|Show step-by-step 

  15. Equation: 7m + 7n + 7o

  16. Equation: 6q + 10q^2 + 8q^3

  17. Equation: c^3 - 5c

  18. Equation: k^4 + 2k^3 + 3k^2 + 4k

  19. Equation: 14dj + 14ej

  20. Equation: m^3n^2 - m^2n^3

Show all answers

Related Pages


Factoring a GCF From an Expression Lesson


Brush up on your knowledge of the techniques needed to solve problems on this page.

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