Skills · Polynomials · Factoring

Factoring x² + bx + c

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. x² + 15x + 56 =
  2. x² + 6x + 8 =
  3. x² + 14x + 45 =
  4. x² − 5x + 6 =
  5. x² − 10x + 16 =
  6. x² − 17x + 72 =
  7. x² + 11x + 18 =
  8. x² − 12x + 32 =

Answer key

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

Sample Sheet · Level 3

  1. x² + 15x + 56 =
  2. x² − x − 132 =
  3. x² − 9x + 20 =
  4. x² − 14x + 33 =
  5. x² + 8x − 33 =
  6. x² + 18x + 77 =
  7. 2x² − 4x − 48 =
  8. 3x² − 18x − 48 =

Answer key

  1. (x + 7)(x + 8)
  2. (x + 11)(x − 12)
  3. (x − 4)(x − 5)
  4. (x − 3)(x − 11)
  5. (x − 3)(x + 11)
  6. (x + 7)(x + 11)
  7. 2(x + 4)(x − 6)
  8. 3(x + 2)(x − 8)

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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