Factoring Special Cases

Factor:
x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² - 16

• Prime
• ( x - 4) ( x + 4) 
• ( x - 8) ( x + 8) 
• ( x - 4) ( x - 4) 

Tags

CCSS.HSA.SSE.A.2

Factor: 
x² - 225

• ( x + 15) ( x + 15) 
• Prime
• ( x - 15) ( x + 15) 
• ( x - 15) ( x - 15) 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 
x² - 169

• ( x - 13) ( x + 13) 
• ( x + 13) ( x + 13) 
• ( x - 13) ( x -13) 
• Prime

Tags

CCSS.HSA.SSE.A.2

Factor: 
25x² - 100y²

• ( 5x - 10y) (5xy + 10y) 
• ( 5x - 10y)²
• Prime
• ( 5x - 50y) (5x + 50y) 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
3x² - 75

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² + 81

• Prime (not factorable)
• ( x - 9 ) ( x + 9 ) 
• ( x + 9 ) ( x + 9 ) 
• ( x - 9 ) ( x - 9 ) 

Tags

CCSS.HSA.SSE.A.2

Factor:
x² - 30x + 225

• (x + 15)²
• (x - 15)²
• (x + 25)²
• (x - 25)²

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor, if possible: 4x²+36x+81

• (4x+81)²
• (2x+9)²
• Prime /
  Not factorable. 
• (2x-9)²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor, if possible: 
64x²-16x+1

• Not factorable.
• (32x-1)²
• (8x+1)²
• (8x-1)²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3