Unit 7 retake review

Complete the formula (use your notes!)
a³-b³=

• (a-b)(a²+ab+b²)
• (a+b)(a²-ab+b²)
• (a-b)(a²-ab+b²)
• (a+b)(a²+ab+b²)

Factor:
x³ + 27

• (x + 3) (x² - 3x + 9)
• (x - 3) (x² + 3x + 9)
• (x + 3)(x + 9)
• Prime
  (can't be factored)

Factor. 
x³ + 125

• (x + 5)(x² - 5x + 25)
• (x + 5)(x - 5)
• (x - 5)(x² + 5x + 1)
• prime

Factor. 
27 - x³

• (3 - x)(9 + 3x + 9)
• (3 + x)(3 - x)
• (3 - x)(9 - 3x + x²)
• prime

Factor. 
8x³ + 1

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

Factor:  27x³ + 8

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

• Use long division

• Use grouping

• GCF out 3 then use grouping

• Use difference of two squares

• Use Sum/Difference of Two Cubes

7r³-8r²+42r-48

• (r²+6)(7r+8)
• (r²+6)(7r-8)
• (r²+6)(r²+8)
• (r²+6)(7r+6)

x³-5x²+5x-25

• (x²-5)(x-5)
• (x²+5)(x-5)
• (x²+5)(x+5)
• (x²-1)(x-25)

2x³-8x²-x+4

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