Special Factoring Patterns

X² + 5x + 6

2X² + 5x + 6

( x + 1) ( x + 3)

(x+ 3)( x + 2)

(3x + 2)(x+1)

(x - 5)(x + 19)

(x - 8)(x + 3)

(x - 3)(x + 8)

(x - 19)(x + 5)

(x-12)(x-5)

(x-15)(x+4)

(x-15)(x-4)

(x+12)(x-5)

Not factorable.

(32x-1)²

(8x+1)²

(8x-1)²

 $\left(2x+5\right)\left(2x-5\right)$  

 $\left(2x+5\right)^2$  

 $\left(4x+5\right)^2$  

 $\left(2x-5\right)^2$  

41x + y²

x² - 50

4x²- 100

( x - 13) ( x + 13)

( x + 13) ( x + 13)

( x - 13) ( x -13)

Prime

(5x-9)²

(5x+9)(5x-9)

25(x-9)²

(9x+5)(9x-5)

3( x + 5 ) ( x - 5 )

Prime

( x + 5 ) ( x - 5 )

3( x - 5 ) ( x - 5 )

Prime (not factorable)

( x - 9 ) ( x + 9 )

( x + 9 ) ( x + 9 )

( x - 9 ) ( x - 9 )

Perfect Square Trinomials

Difference of Perfect Square

Factory by Grouping

All of these