Factoring and Solving Quadratics

Factor x² – 16.

• (x + 2)(x – 8)
• (x – 4)(x – 4)
• (x + 4)(x + 4)
• (x + 4)(x – 4)

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

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x - 7y³) 
• Prime

Tags

CCSS.HSA.APR.C.4

Factor

3x² - 75

• 3( x + 5 ) ( x - 5 )

• Does not factor (prime)

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )

Tags

CCSS.HSA.APR.C.4

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

Factor:

17xy² - xy

• 17(xy² - x)

• y(17xy - x)

• xy(17y - 1)

• prime

Factor completely: 2x² + 13x + 15

• (2x + 5)(x + 3)

• (x + 5)(x + 3)

• 2(x + 3)(x + 5)

• (2x + 3)(x + 5)

Factor completely: -5x² + 30x - 40

• -5(x-2)(x-4)

• (x-2)(x-4)

• -(5x-8)(x-5)

• (5x+10)(x+4)

Factor completely:

5k³ + 10k² + 5k

• 5k(k² +2k + 1)

• 5(k³ + 2k² + k)

• k(5k² + 10k + 5)

• 5k(k + 1)(k + 1)

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4