Factorizing Algebraic Expressions

Factor:

k² - 2k - 24

• (k + 4) (k - 6)

• (k + 4) (k + 6)

• (k + 6) (k - 1)

• (k - 4) (k + 6)

Factor:

a² - a - 12

• (a - 4) (a + 3)

• (a + 6) (a - 4)

• (a - 6) (a + 4)

• (a + 4) (a - 3)

Factor:
x² - 30x + 225

• (x + 15)²

• (x - 15)²

• (x + 25)²

• (x - 25)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:
x² - 25

• ( x + 5 ) ( x - 5 ) 

• ( x - 5 ) ( x - 5 ) 

• ( x + 5 ) ( x + 5 ) 

• Prime

Tags

CCSS.HSA.APR.C.4

Factor:
x² - 16

• Prime

• ( x - 4) ( x + 4) 

• ( x - 8) ( x + 8) 

• ( x - 4) ( x - 4) 

Tags

CCSS.HSA.APR.C.4

Factor:

n² + 16n + 63

• (n - 7) (n + 4)

• (n + 7) (n - 9)

• (n - 3) (n - 10)

• (n + 7) (n + 9)

x² - 14x + 24

• (x + 24) (x + 1)

• (x + 6) (x + 4)

• (x - 8) (x - 3)

• (x - 12) (x - 2)

Factor:

16x² - 81y²

• (4x - 9y)²

• (9x - 4y)(9x + 4y)

• (4x - 9y)(4x + 9y)

• (2x - 3y)(2x + 9y)

Tags

CCSS.HSA.APR.C.4

Factor:
3x² - 75

• 3( x + 5 ) ( x - 5 ) 

• Prime

• ( x + 5 ) ( x - 5 ) 

• 3( x - 5 ) ( x - 5 ) 

Tags

CCSS.HSA.APR.C.4