8.5 Practice - Factoring out the GCF and solving by factoring

Factor out the GCF

16xy - 24y

• 4y (4x - 6)

• 8y (2xy - 3y)

• 8y (2x - 3)

• 2xy (8 - 12y)

Tags

CCSS.7.EE.A.1

Factor out the GCF

2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor out the GCF

4a³b⁵ - 18a²b³ + 8a³b³

• 4a²b³ (ab² - 4 + 2a)

• 2a²b³ (2ab² - 9 + 4a)

• 2a²b³ (2ab - 9ab + 4)

• a²b (4ab - 18a²b³ + 8ab²)

Factor by grouping

x³ + 7x² - 2x - 14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Factor by grouping

7r³ - 8r² + 42r - 48

• (r²+6)(7r+8)

• (r²+6)(7r-8)

• (r²+6)(r²+8)

• (r²+6)(7r+6)

Solve for the values of x

Hint: This is already factored!

x(x - 3) = 0

• x = 0

  x = 3

• x = 0

  x = -3

• x = 1

  x = 3

• x = 1

  x = -3

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

• x = 0

  x = -3 

• x = 0

  x = 3 

• No Real Solution

• x = -1

  x = 3 

Tags

CCSS.HSA-REI.B.4B

• x = 0

  x = 3

• x = 0

  x = -3

• x = 2

  x = 6

• x = 2

  x = -6

Tags

CCSS.HSA-REI.B.4B

Solve by factoring

Hint: Factor by grouping to start!

  x² - 2x - 4x + 8 = 0

• x = 2

  x = 4

• x = -2

  x = -4

• x = -2

  x = 8

• Not Factorable

Tags

CCSS.HSA-REI.B.4B