Factoring Part 2:  Special Cases and General Factoring

1. Factor x² - 121

  (x + 11)(x + 11)

  (x - 11)(x - 11)

  (x - 11)(x + 11)

2. Factor a³b³ + 125

  (ab + 5)(a²b² - 5ab +25)

  (ab - 5)(a²b² + 5ab + 5)

  (ab - 5)(ab + 5)

3. Factor 16x² - 8x + 1.

  (4x - 1)(4x + 1)

  (4x - 1)(4x - 1)

  (4x + 1)(4x + 1)

4. Factor 4a² - 4.

 4(a² + a - 1)

 4(a² - 1)

 4(a - 1)(a + 1)

5. Factor (3w - 1)²  - 25.

 (3w - 1 - 5)(3w - 1 + 4)

 (3w - 6)(3w + 4)

 3(w - 2)(3w + 4)

6. Factor  16x² - 36x - 10.

 2(2x - 5)(4x + 1)

 (4x + 10)(4x - 1)

 (2x - 5)(8x - 2)

7. Factor (5x + 1)² - x²

 (5x + 1 + x)(5x + 1 - x)

 (5x + 1)(5x - 1)

 (4x + 1)(6x + 1)

8. Factor 5x³ - 5x² + 5x

 5x( x² - x + 1)

 5(x³ - x² + x )

  This is a prime polynomial.

9. Factor x² +  1

  (x + 1)(x - 1)

  (x + 1)(x + 1)

  This is a prime polynomial.