Special Types of Factoring

Factor.

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Factor.

4x² - 64

• Prime

• ( 2x - 32) (2 x + 32)

• ( 2x - 8) (2 x - 8)

• ( 2x - 8) (2 x + 8)

Is this a perfect square trinomial?
x² + 16x + 64

• Yes
• No

Factor.

x² + 24x + 144

• (x + 12)²

• (x - 12)²

• (x + 15)²

• (x + 13)²

Factor.

x² - 30x + 225

• (x + 15)²

• (x - 15)²

• (x + 25)²

• (x - 25)²

Solve.

4x² - 64

• x = 0

• x = 4

• x = -4

• x = -4, 4

Solve.

x² - 30x + 225

• x = -15

• x = 15

• x = -15, 15

• x = 0

x² - 16

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

4x² - 64y²

• Prime
• ( 2x - 32y) (2 x + 32y) 
• ( 2x - 8y) (2 x - 8y) 
• ( 2x - 8y) (2 x + 8y) 

x² + 81

• Prime
• ( x - 9 ) ( x + 9 ) 
• ( x + 9 ) ( x + 9 ) 
• ( x - 9 ) ( x - 9 )