Factoring Polynomials

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)
•  (x²+2)(3x-1)
• (3x³+6x)(x²-2)
• none of the aboe

Factor x²-2x-15

• (x+5)(x-3)
• (x-5)(x-3)
• (x-5)(x+3)
• (x+5)(x+3)

x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

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:
2x³ + 5x² - 8x - 20

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

Factor Completely:
3x⁴ + 3x³ - 12x² - 12x

• 3x(x³ + x²- 4x - 4)
• 3x(x²-4)(x+1)
• 3x(x+2)(x-2)(x+1)
• 3x(x²+4)(x-1)

Factor:  27x³ + 8

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

Is factoring fun?

• YES
• NO
• NO
• NO

Factor Completely:

k⁴ - 10k² - 39

• (k² - 13)(k² + 3)

• (k - 13)(k + 3)

• (k² + 15)(k² - 3)

• (k + 13)(k - 3)

Factor Completely:

343x³ - 27

• (7x² - 3)(7x+3)

• (7x - 3)(7x² + 21x + 9)

• (7x - 3)(49x² - 21x + 9)

• (7x - 3)(49x² + 21x + 9)