Factoring by Completing Squares

Decide on the best method:

x² + 2x = -9

• Isolation Method

• Factor Method

• Complete the Square

• Quadratic Formula

• Isolation Method

• Factoring

• Completing the Square

• Quadratic Formula

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

• 4

• 2

• 8

• 20

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Complete the square.

x² + 6x + ____

• 9

• 12

• 36

• - 9

Complete the Square

x² - 10x + ____

• x² + 10x - 100

• x² - 10x + 100

• x² + 10x - 25

• x² - 10x + 25

What would you add to both sides to complete the square and make it a perfect square trinomial?

Mathematical Equivalence

ON

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x

• the 9

• the x²