AlgebraLab

Algebra I Exercises: Factoring Special Products

By B Horn

Directions and/or Common Information:

Factor the GCF out of the polynomial.
  1. x2 + 2x + 4
  1. 4x + 2
  1. 3x2 + 6x -9
  1. 6x2 + 2x
  1. 2x2y + 2x + 4
6. 3x2y4 + 2xy3 + y2
7. 6x5y4 - 12x3y3 + 2xy3

Directions and/or Common Information:

Factor the difference of the two squares.
  1. 64x2 - 4
  1. 16x2 - 49
  1. 25x2 - 36
  1. 9x2 - 81
5. 4x2 - 121y2
6. 100y2 - 36x2
7. 9x2y2 - 25y2

Directions and/or Common Information:

Factor each Perfect Square Trinomial

Hint: Remember that the answer will be in the form ( )2.

  • Take the square root of the first term and the square root of the last term to determine the numbers in the binomial.
  • Look at the sign of the middle term to determine the sign between the two terms in the binomial.
  1. 16x2 + 40x + 25
  1. 25x2 - 90x + 81
3. 4x2 + 36xy + 81y2
4. 10000x4 + 1800x3 + 81x2
  1. 36x2 - 48xy + 16
  1. 4x2 + 8x + 4