Skills · Polynomials · Factoring

Factoring out the GCF

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. 10x + 18 =
  2. 20x + 16 =
  3. 6x + 12 =
  4. 8x + 40 =
  5. 5x² + 45x =
  6. 30x² + 50x =
  7. 9x² + 72x =
  8. 24x² + 40x =

Answer key

  1. 2(5x + 9)
  2. 4(5x + 4)
  3. 6(x + 2)
  4. 8(x + 5)
  5. 5x(x + 9)
  6. 10x(3x + 5)
  7. 9x(x + 8)
  8. 8x(3x + 5)

Sample Sheet · Level 3

  1. 84x − 12 =
  2. 12x³ − 20x² + 24x =
  3. 36x²y − 60xy² =
  4. 4x² − 36x =
  5. 12x³ − 6x² + 12x =
  6. 28x³ − 32x² =
  7. −24x² + 4x =
  8. −35x² + 20x =

Answer key

  1. 12(7x − 1)
  2. 4x(3x² − 5x + 6)
  3. 12xy(3x − 5y)
  4. 4x(x − 9)
  5. 6x(2x² − x + 2)
  6. 4x²(7x − 8)
  7. −4x(6x − 1)
  8. −5x(7x − 4)

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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