Factoring Review (Days 3-4)

Factor Completely:  3n² - 15n + 18

• (n - 2)(n - 3)
• 3(n + 2)(n + 3)
• (3n - 9)(n - 2)
• 3(n - 3)(n - 2)

Factor completely:

x⁶ - 64

• (x³ - 8)(x³ + 8)

• (x+2)(x-2)(x² + 2x +4)(x² - 2x + 4)

• (x+2)(x-2)(x² + 4x +4)(x² - 4x + 4)

Factor completely:

81x⁴ - 16

• (3x + 2)(3x - 2)(9x² + 4)

• (9x² + 4)(9x² - 4)

• (3x + 2)(3x - 2)(9x² - 4)

• (9x + 4)(9x - 4)

Factor completely:

5x⁴ - 25x² + 20

• 5(x - 2)(x + 2)(x - 1)(x + 1)
• 5(x - 4)(x + 4)(x - 2)(x + 2)
• 5(x⁴ - 5x² + 4)

Factor completely:

x⁶ - 7x³ - 8

• (x -1)(x² + 3x + 2)(x + 2)(x² - 2x + 1)

• (x - 2)(x² + 2x + 4)(x + 1)(x² - x + 1)

• (x -3)(x² - 3x + 3)(x + 2)(x² + x + 2)

Factor completely:

x² + 2x - xy - 2y

• (x - y)(x + 2)
• (x + y)(x - 2)
• (x + 2)(x - y)
• (x - 2)(x + y)

Factor completely:

2x - 3y + 9y² -4x²

• (2x + 3)(3y - 2)
• (x - 3)(2y + 3)
• (2x - 1)(3y - 2x)
• (2x - 3y)(1 - 3y - 2x)

Factor completely:

4x² + 4by - y² - 4b²

• (2x + y)(2x - y - 4b)
• (2x - y)(2x + y + 4b)
• (2x + y - 2b)(2x- y + 2b)

• (2x - y)(2x - y + 4b)

Factor completely:

1000 - x³

• (10 - x)(100 - 10x + x²)

• (10 - x)(100 + 10x + x²)

• (10 + x)(100 - 10x + x²)

• (10 - x)(100 + 10x - x²)