Factoring Special Cases and Perfect Squares

Factor f(x)= x²+10x+25

• (x+10)(x+4)
• (x-5)²
• (x+5)²
• (x+10)²

Tags

CCSS.HSA.APR.C.4

x² - 25

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

Tags

CCSS.HSA.APR.C.4

x² - 16

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

Tags

CCSS.HSA.APR.C.4

4x² - 64

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

Tags

CCSS.HSA.APR.C.4

Factor: x² - 4x + 4

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

Tags

CCSS.HSA.APR.C.4

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

Factor: 4x² - 28x + 49 (***special case***)

• (2x -14)²
• (x - 7)²
• (4x + 4)(x+7)
• (2x - 7)²

Tags

CCSS.HSA.APR.C.4

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)
• (2m - 3)²
• (m + 3)(2m - 3)
• (2m + 3)(m - 3)

Factor completely: 
5a² - 11a + 6

• (5a-3)(a-2)
• (5a-2)(a-3)
• (5a-1)(a-6)
• (5a-6)(a-1)

Factor
3v² - 4v - 7

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