Factoring Sum and Difference of Squares

Factor:
x² - 16

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

Tags

CCSS.HSA.APR.C.4

3x³ – 12x

Factor out GCF first

• (x + 3)²

• 3x(x – 2)(x + 2)

• (4x – 7)(4x + 7)

• (x + 2)(x + 9)

Tags

CCSS.HSA.APR.C.4

16x² – 49

• (4x – 7)(4x + 7)

• (4x - 7)(8x - 4)

• (5x - 9)(5x + 9)

• (4x + 7i)(4x - 7i)

Tags

CCSS.HSA.APR.C.4

3x³ – 12x

Factor out GCF first

• (x + 3)²

• 3x(x – 2)(x + 2)

• (4x – 7)(4x + 7)

• (x + 2)(x + 9)

Tags

CCSS.HSA.APR.C.4

Factor: x² +64

• (x + 8)(x - 8)

• (x - 8) ²

• (x + 8) ²

• (x - 8i)(x + 8i)

Tags

CCSS.HSA.APR.C.4

Factor:
x² - 25

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

Tags

CCSS.HSA.APR.C.4

25m² - 1

• (m - 5)(m + 1)

• (5m + 1)²

• (5m + 1)(5m - 1)

• (5m - 1)²

Tags

CCSS.HSA.APR.C.4

x⁴+16

• (x + 2i)(x - 2i)(x - 2)(x + 2)

• (x + 4)(x - 4)

• (x + 4i)(x - 4i)

• (x + 4)(x + 4)

Tags

CCSS.HSA.APR.C.4

Given f(x) = 16x⁴ - 49x², what are the correct factors of the polynomial? (Factor out GCF first)

• x²(4x - 7)(4x + 7)

• (4x - 7)(4x + 7)

• x²(4x + 7)(4x + 7)

• x²(4x - 7)(4x - 7)

Tags

CCSS.HSA.APR.C.4

Given f(x) = 9x⁶ + 64x⁴, what are the correct factors of the polynomial? (Factor out the GCF first)

• x⁴(3x - 8i)(3x + 8i)

• (3x - 8i)(3x + 8i)

• x²(3x - 8i)(3x + 8i)

• x⁴(3x - 8i)(3x - 8i)

Tags

CCSS.HSA.APR.C.4