Factoring Polynomials

Factor completely:
6x³ - 27x² - 105x

• (6x² + 15x)(x - 7)
• 3x(2x² - 9x - 35)
• 3x(2x + 5)(x - 7)
• (2x + 5)(3x² - 21x)

Factor completely:
x³ + 3x² - 4x - 12

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

Factor
x² - 100

• (x - 10)(x +10)
• (x - 2)(x + 50)
• (x - 4)(x + 25)
• (x - 1)(x + 100)

Tags

CCSS.HSA.APR.C.4

Factor
5x²-28x+32

• (3x-10)(x+6)
• (x-8)(5x-4)
• (5x-8)(x-4)
• (5x-8)(x+7)

Tags

CCSS.7.EE.A.1

Factor by grouping
x³ - 4x² -4x + 16

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

Factor completely:
x⁴ - 16

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

Tags

CCSS.HSA.APR.C.4

Factor
 45a⁶ +27a⁵y- 9a^{4 completely.} 

• 3x⁴(15x²+9xy-3)
• 3x⁴(15x²+9xy)
• 9x⁴(5x²+3xy)
• 9x⁴(5x²+3xy-1)

−28a⁶ +20a⁴ −40a³
Find the GCF
(greatest common factor) 

• 4a²
• 4a³