FACTORING CUBES and QUADRATIC TRINOMIALS

Factor completely : m³ + 8

• m² - 2m + 4

• (m + 2)(m² - 2m + 4)

• (m - 2)(m² - 2m + 4)

• (m + 2)(m² + 2m + 4)

Factor completely: a³ - 1

• (a - 1)(a² + a + 1)

• (a - 1)(a² + a - 1)

• (a - 1)(a² - a - 1)

• (a + 1)(a² + a + 1)

Factor 

 $k^2+7k+10$  .

•  $(k+2)(k-5)$  

•  $(k+2)(k+5)$  

•  $(k+10)(k+4)$  

•  $(k-2)(k-5)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor $x^2+9x-36$  

•  $(x+12)(x-3)$  

•  $(x+9)(x-4)$  

•  $(x-9)(x-4)$  

•  $(x-12)(x+3)$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor

 $m^2+8m+15$  

•  $(m+2)(m+6)$  
  

•  $(m+1)(m+7)$  
  

•  $(m+4)(m+4)$  
  

•  $(m+3)(m+5)$  
  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor

 $x^2-10x+16$  

•  $(x+12)(x-2)$  
  

•  $(x-4)(x-6)$  
  

•  $(x+10)(x-2)$  
  

•  $(x-2)(x-8)$  
  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor

 $w^2-w-12$  

•  $(w-6)(w+2)$  
  

•  $(w-4)(w+3)$  
  

•  $(w-6)(w-6)$  
  

•  $(w+4)(w-3)$  
  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor

3v² - 4v - 7

• (3v - 7)(v + 1)

• 3(v - 7)(v - 1)

• (3v + 1)(v - 9)

• (3v + 1)(v - 10)

Factor:
 4h² - 17h + 4

• (2h - 2)²
• 4(h + 4)(h + 1)
• (2h - 2)(2h + 2)
• (h - 4)(4h - 1)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

What number, n, cubed is equal to 27?

 $n^3=27$  

• 9

• 3

• -3

• -9