Completing the Square

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

Complete the square.
x² + 6x + ____

• x² + 6x + 9
• x² + 6x - 36
• x² + 6x + 36
• x² + 6x - 9

• (x+3)(x-3)

• (x+3)²

• (x-3)²

• (x+9)²

Complete the square for
x² - 12x + ____

• x² - 12x + 144

• x² - 12x + 36

• x² - 12x - 36

• x² - 12x - 144

Rewrite as a squared binomial.

x² - 12x + 36

• (x + 6)²

• (x + 12)²

• (x - 6)²

• (x - 18)²

• Yes

• x² + 8x + 9, which equals (x-8)(x-1)

• x² - 8x + 16, which equals (x-4)²

• x² - 8x -16, which equals (x-4)²

• x² - 8x + 36, which equals (x-6)²

• (x+4)² + 16

• (x-4)² + 18

• (x-8)² + 2

• (x-4)² + 2

Convert the equation
x² - 10x + 31
into vertex form

• (x+10)² +6

• (x+5)² - 10

• (x-5)² + 31

• (x-5)² + 6