Solve Quadratics by Factoring Fill in Blank

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

Answer explanation

To factor the equation x² - 4x + 4 = 20, rewrite it as (x - 2)² = 20. The term that completes the square is 2, making the correct choice 2.

Tags

CCSS.HSA-REI.B.4B

When completing the square x² - 4x + 4 = 20, what goes in the blank? (x - __ )² = 20

• 4

• 2

• 8

• 20

Answer explanation

To complete the square for x^2 - 4x + 4 = 20, rewrite it as (x - 2)^2 = 20. The term that goes in the blank is 2, since (x - 2)^2 expands to x^2 - 4x + 4.

Tags

CCSS.HSA-REI.B.4B

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

Tags

CCSS.HSA-REI.B.4B

Find the solutions. (Solve for b.)

• -2, 4

• -8

• 8, -8

• 2, -4

Tags

CCSS.HSA-REI.B.4B

• -4, 2
• -2, 4
• -16
• -4

Tags

CCSS.HSA-REI.B.4B

The solutions of the quadratic equation

x²+12x+35=0 are (hint: find the zeros) FACTOR

• x = -5 or x = -7

• x = 5 or x = 7

• x = -35 or x = -1

• x = -9 or x = -4

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

• (3x-1)(x+2)

• (3x-2)(x-2)

• (3x+2)(x-2)

• (x-1)(3x-2)

• x = -1.5 and 3

• x = -3 and -1.5

• x = -3 and 1.5

• x = 3 and 1.5

Tags

CCSS.HSA-REI.B.4B