factoring

x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 25 ) ( x - 25 ) 
• Prime

Tags

CCSS.HSA.APR.C.4

225 - x²

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

Tags

CCSS.HSA.APR.C.4

4x² - 25y²

• Prime
• ( 2x - 5) (2x + 5) 
• ( 4x - 5y) (4x - 5y) 
• ( 2x - 5y) (2x + 5y) 

Tags

CCSS.HSA.APR.C.4

9x² - 49y⁶

• (3x + 7y³)(3x + 7y³) 
• (3x - 7y³)(3x + 7y³) 
• (3x - 7y³)(3x - 7y³) 
• Prime

Tags

CCSS.HSA.APR.C.4

Factor (Hint: Look for GCF, first!)
3x² - 75

• 3( x + 5 )( x - 5 ) 
• Prime
• ( 3x + 9 )( 3x - 9 ) 
• 3( x - 6 )( x + 6 ) 

Tags

CCSS.HSA.APR.C.4

36m² - 9
(Check for a GCF)

• (6m + 3)(6m - 3)
• 9(4m² - 1)
• 9(2m - 1)(2m + 1)
• Not Factorable

Tags

CCSS.HSA.APR.C.4

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)
• (x-4)(x² -4) 
• (x+4)(x² -4)
• (x-4)(x-2)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

x³-5x²+5x-25

• (x²-5)(x-5)
• (x²+5)(x-5)
• (x²+5)(x+5)
• (x²-1)(x-25)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

20x³-25x²+4x-5

• (5x²-5)(4x+1)
• 5(x²-1)(4x+5)
• (5x²+1)(4x-5)
• (5x²+1)(4x-1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor p³ - 3p² - 16p + 48 

• p² ( p - 3) (p - 3) 
• (p² - 16) (p - 3)  
• (p + 4) (p - 4) (p - 3) 

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3