Factoring Quadratic Trinomials

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

To factor

 $x^2+8x+15$  , find two factors of 15 whose sum is _____.

• 1

• 2

• 8

• 15

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

To factor

 $x^2-10x-24$ , which of the following factors of $-24$  must be chosen in the process?

•  $-2,\ 12$  

•  $-6,\ -4$  

•  $2,\ -12$  

•  $-6,\ 4$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

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

 $x^2-10x+16$  

•  $(x+12)(x-2)$  
  

•  $(x-4)(x-6)$  
  

•  $(x+10)(x-2)$  
  

•  $(x-2)(x-8)$  
  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely:  3n² - 15n + 18

• (n - 2)(n - 3)
• 3(n + 2)(n + 3)
• (3n - 9)(n - 2)
• 3(n - 3)(n - 2)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely:  6x² + 5x - 6

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)
• (2m - 3)²
• (m + 3)(2m - 3)
• (2m + 3)(m - 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
 4h² - 17h + 4

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor the polynomial:
5x² - 13x + 6

• (x + 3)(5x - 2)
• (x - 2)(5x - 3)
• (x + 2)(5x + 3)
• (x - 3)(5x + 2)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3