Factoring Trinomials, Special Cases & Grouping

Fully Factor the Following
25x²-81

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

Tags

CCSS.HSA.APR.C.4

3x² - 75

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

Tags

CCSS.HSA.APR.C.4

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)
• (3x - 4)(x + 3)
• (3x + 3)(x -4)
• (3x - 3)(x + 4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor completely.
2n² + 13n + 15

• (5n - 9)(n - 3)
• (3n + 7)(n + 4)
• (2n + 3)(n + 5)
• Not factorable

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor completely.
5x² - 13x + 6

• (x - 3)(5x - 2)
• (5x - 3)(x - 2)
• 5(x - 3)(x + 2)
• Not factorable

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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:

25x² - 100y²

• ( 5x - 10y) (5x + 10y)

• ( 5x - 10y)²

• Prime

• ( 5x - 50y) (5x + 50y)

Factor:
x² + 81

• Prime (not factorable)
• ( x - 9 ) ( x + 9 ) 
• ( x + 9 ) ( x + 9 ) 
• ( x - 9 ) ( x - 9 ) 

Tags

CCSS.HSA.APR.C.4