Factoring Quadratics Area Model

Which of the following expressions is equivalent to (x − 8)² ? 

• x ² − 16x − 64 

• x ² + 16x + 64 

• x ² − 16x − 8

• x ² − 16x + 64 

Factor completely:

  x² - 4x - 32

• (x - 8)(x + 4)

• (x - 4)(x - 32)

• (x + 3)(x - 4)

• (x + 2)(x + 5)

• 7x and -2x

• 15x and -1x

• 3x and -5x

• 14x and 1x

• (x+1)(x-5)

• (3x-1)(x+5)

• (x+14)(x-5)

• (3x+5)(x-1)

• 5(x+4)(x+4)

• 5(x+8)(x+16)

• 5(x+8)(x+4)

• 5(x+8)(x+8)

Given the filled in area model shown here, what would the factored form (step 3) of the equation look like?

Use factoring to find the solutions to this quadratic equation:

x²+2x-15=0

• x = 3 or x = 5

• x = 5 or x = -3

• x = -5 or x = 3

• x = -3 or x = -5

Use factoring to find the roots of this quadratic equation:

x² + 4x - 32=0

• x= -8, 4

• x= 8, -4

• x= -8, -4

When solving, which would be the correct factored form (Step 3)?

• (7x-10)(x-8)

• Not factorable

• (3x+1)(x+1)

• (3x-1)(x-1)

Use factoring to find the zeros of this quadratic equation:

6x² - x - 2 = 0

• x= -2/3, 1/2

• x= 2/3, -1/2

• x= -2/3, -1/2