Topic 1 & 2 SOL Review

Factor: 
25x² - 100y²

• ( 5x - 10y) (5xy + 10y) 
• ( 5x - 10y)²
• Prime
• ( 5x - 50y) (5x + 50y) 

Factor:
3x² - 75

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

Factor:
x² + 81

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

Which of the following represents how to factor a sum or difference of cubes

• x ³ – y ³ = ( x – y) ( x ² + xy + y ²)
• x ²– y ² = ( x + y) ( x – y)
• Prime
• x ² + 8 x + 12 = ( x + 2)( x + 6)

Factor the following binomial: 8x³-27

• (2x+3)(4x²-6x+9)

• (2x-3)(4x²+6x+9)

• (2x-3)(4x²+6x-9)

• (2x-3)(2x²+6x+9)

Tags

CCSS.HSA.APR.C.4

Select ALL factors for the following expression has been factored COMPLETELY:

8x³ - 18x

• (4x²-9)

• (2x-3)

• 2x

• (2x+3)

• (4x²+3)

Factor completely: -5x²+30x-40

• -5(x-2)(x-4)
• (x-2)(x-4)
• -(5x-8)(x-5)
• (5x+10)(x+4)

Factor completely: -3x²-24x-21

• (3x-3)(x-7)
• (x-7)(x-1)
• -3(x+7)(x+1)
• (x+21)(x+1)

Factor completely: 3x²-8x+4

• (3x-4)(x-1)
• (3x-2)(x-2)
• (x+1)(3x+4)
• (x+2)(3x+2)

Which of the following is NOT equal to:

-i

• i¹⁹

• i³⁹

• i²⁹

• i⁴³