+/- cubes and grouping

Factor this sum of cubes:
2x³ + 128

• 2(x³ + 64)
• (x + 4)(x² - 4x + 16)
• 2(x - 4)(x² + 4x + 16)
• 2(x + 4)(x² - 4x + 16)

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following
8x³-27

• (2x+3)(4x²-6x+9)
• (2x-3)(4x²+6x+9)
• (2x-3)(4x²+6x-9)
• (2x-3)(2x²+6x+9)

Tags

CCSS.HSA.APR.C.4

Fully Factor the Following
216x³+125

• 6(x+5)³
• (6x+5)³
• (6x+5)(6x²-30x+25)
• (6x+5)(36x²-30x+25)

Tags

CCSS.HSA.APR.C.4

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)
• (x² + 1) (x - 343)
• (x - 7) (x² + 7x + 49)
• (x² - 343) (x + 1)

Tags

CCSS.HSA.APR.C.4

Level 2 Question 14
8x⁶ - 64

• Prime
• 8(x² - 2)³
• 8(x²-2)(x⁴+2x²+4)
• 8(x-2)⁶

Tags

CCSS.HSA.APR.C.4

WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF   27X³-343? 

• DIFFERENCE OF TWO CUBES
• DIFFERENCE OF TWO SQUARES 
• FACTORING BY GCF 

Tags

CCSS.HSA.APR.C.4

Factor by grouping
x³ - 4x² -4x + 16

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

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)

30x³+15x²-18x-9

• (5x²-3)(6x+1)
• (5x²-3)(6x+3)
• 3(5x²+3)(2x-1)
• 3(5x²-3)(2x+1)

30x³+15x²-18x-9 hint: GCF then Factor by Grouping

• (5x²-3)(6x+1)

• (5x²-3)(6x+3)

• 3(5x²+3)(2x-1)

• 3(5x²-3)(2x+1)