Search 80,000+ tutors
FIND TUTORS

Factoring Completely

Factor each expression completely.

Checking Your Answers

Enter an answer in each box, then click the "Show Answers" button at the bottom of the page to see the answers.

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

Example:

Equation: x^4 + 7x^3 + 12x^2 
Answer:  = x^2(x + 3)(x + 4)

Quiz:

  1. Equation: x^3 - x 
  2. Equation: x^3 + 5x^2 + 6x 
  3. Equation: 4y^2 - 8y - 60 
  4. Equation: 3q^2 - 12q + 12 
  5. Equation: 3m^3 + 33m^2 + 90m 
  6. Equation: 4x^2 + 8xy + 4y^2 
  7. Equation: 4kx^2 - 4ky^2 
  8. Equation: m^4 - 1 
    Answer:  = (m + 1)(m - 1)(m^2 + 1)
  9. Equation: p^4 - 2p^2 + 1 
    Answer:  = (p - 1)(p + 1)(p + 1)(p - 1)
  10. Equation: abc^2 + 6abc + 5ab 
  11. Equation: 24x^2 + 68x + 48 
  12. Equation: 4x^2y + 12xy^2 + 9y^3 
  13. Equation: 3mx^2 - 5mx - 28m 
  14. Equation: 21k - 98k^2 - 343k^3 
  15. Equation: 4p^4 - 5p^2 + 1 
    Answer:  = (2p + 1)(2p - 1)(p + 1)(p - 1)
  16. Equation: 36r^4 + 29r^2 - 20 
    Answer:  = (3r + 2)(3r - 2)(4r^2 + 5)
  17. Equation: 108s^6 + 42s^4 - 6s^2 
    Answer:  = 6s^2(3s + 1)(3s - 1)(2s^2 + 1)
  18. Equation: 144uv^4 - 388uv^2 + 144u 
    Answer:  = 4u(2v + 3)(2v - 3)(3v + 2)(3v - 2)
  19. Equation: 6m^3n - 9m^2n^2 - 15mn^3 
  20. Equation: 2p^3x + p^2x - 28px 
Show all answers

Related Pages

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

Expression Factoring Calculator
Simplifies and factors expressions automatically.

Tutoring

Looking for someone to help you with algebra? At Wyzant, connect with algebra tutors and math tutors nearby. Prefer to meet online? Find online algebra tutors or online math tutors in a couple of clicks.

Sign up for free to access more Algebra resources like . Wyzant Resources features blogs, videos, lessons, and more about Algebra and over 250 other subjects. Stop struggling and start learning today with thousands of free resources!
if (isMyPost) { }