4.4 Factoring Polynomials

x⁴ - 4x² - 45

• (x² - 5)(x - 3)(x + 3)
• (x² + 45)(x + 1)(x - 1)
• (x² + 5)(x - 3)(x + 3)
• (x² + 3)(x - 5)(x + 3)

Factor completely:
16x² - 20xy

• 4 (4x² - 5xy)
• 4x (4x - 5y)
• 4x² (4 - 5y)
• 2(duck)

Factor completely:
4x²y - 12xy + 5y

• (2xy - 1) (2x - 5)
• prime
• y (2x - 1) (2x - 5)
• 4 (xy - 5) (x - 1)

Factor completely:
4x² - 121

• (2x + 11) (11 - 2x)
• (2x - 11) (2x - 11)
• (2x + 11) (2x + 11)
• (2x + 11) (2x - 11)

Factor completely:
-8x² + 10x + 3

• (2x - 3) (-4x - 1)
• -1 (2x - 3) (4x + 1)
• -1 (-2x + 3) (4x + 1)
• (-2x + 3) (4x + 1)

Factor Completely:

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Factor completely:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Factor completely:
2x³ + 5x² - 8x - 20

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

Factor: 8x³ - 1

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

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)