Factoring Trinomials and Special Cases

Factor:
x² - 16

• Prime

• ( x - 4) ( x + 4) 

• ( x - 8) ( x + 8) 

• ( x - 4) ( x - 4) 

Tags

CCSS.HSA.APR.C.4

Factor:
x² - 30x + 225

• (x + 15)²

• (x - 15)²

• (x + 25)²

• (x - 25)²

Tags

CCSS.HSA.APR.C.4

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

Tags

CCSS.HSA.APR.C.4

Factor:

4x²+36x+81

• (4x+81)²

• (2x+9)²

• Prime /

  Not factorable.

• (2x-9)²

Tags

CCSS.HSA.APR.C.4

Factor by GCF (Double Factor!):

2c² + 2c - 84

• (c-6)(2c+14)

• (c+7)(2x-12)

• (c-4)(2c+21)

• 2(c+7)(c-6)

Factor by GCF (Double Factor!):

3x² + 18x +15

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor, if possible: 4x²+36x+81

• (4x+81)²

• (2x+9)²

• Prime /
  Not factorable. 

• (2x-9)²

Tags

CCSS.HSA.APR.C.4

Factor, if possible: 
64x²-16x+1

• Not factorable.

• (32x-1)²

• (8x+1)²

• (8x-1)²

Tags

CCSS.HSA.APR.C.4

Factor: 
x² - 225

• ( x + 15) ( x + 15) 

• Prime

• ( x - 15) ( x + 15) 

• ( x - 15) ( x - 15) 

Tags

CCSS.HSA.APR.C.4

Factor: 
x² - 169

• ( x - 13) ( x + 13) 

• ( x + 13) ( x + 13) 

• ( x - 13) ( x -13) 

• Prime

Tags

CCSS.HSA.APR.C.4