Factoring and Completing the Square

Write the following quadratic expression in completed square form...
x² + 20x + 88

• (x + 10)² + 12

• (x - 10)² - 12

• (x - 10)² + 12

• (x + 10)² - 12

Factor:  x² + 13x + 30

• (x + 3)(x + 10)

• (x + 5)(x + 6)

• (x + 2)(x + 15)

• (x + 1)(x + 30)

Factor:  x² - 2x - 24

• (x + 6)(x - 4)

• (x + 4)(x - 6)

• (x - 4)(x - 6))

• (x - 3)(x + 8)

Factor:  2x² - 5x + 2

• (2x - 1)(x - 2)

• (2x + 1)(x - 2)

• (2x - 2)(x - 1)

• (2x + 2)(x - 1)

Factor:  6x² - 7x - 10

• (3x + 2)( 2x - 5)

• (3x - 2)( 2x + 5)

• (6x - 5)(x + 2)

• (6x + 5)(x - 2)

Factor:  3x² - 10x + 8

• (3x - 2)(x - 4)

• (3x - 4)(x - 2)

• (3x - 4)(x + 2)

• (3x + 4)(x - 2)

Write the following quadratic expression in completed square form... x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

Solve the following quadratics equation by completing the square... x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Now you: What number should be added to complete the square?

Solve by factoring: 3x² + 4x - 4= 0

• x = 6 and x = -2

• x = -2/3 and x = 2

• x = 2/3 and x = -2

• x = -12 and x = 4