Complete the Square Review

Complete the Square

Review

Completing the Square

Goal: Turning an unfactorable quadratic trinomial into a perfect square trinomial

Complete the Square Steps

• Make sure a=1, if not you need to factor it out

• Find b/2

• Square that number

• Add it to both sides of the equation

Multiple Choice

Factor the perfect square trinomial:
x² + 16x + 64

• (x+8)²
• (x-8)²
• (x-4)²
• (x+4)²

Multiple Choice

Factor the perfect square trinomial
x² + 14x + 49

• (x+7)²
• (x+7)(x-7)
• (x-7)²
• (x+14)²

Multiple Choice

Find the missing value "c" to create a perfect square trinomial:
x² + 26x + ___ 

• 13
• 136
• 169
• 26

Multiple Choice

What value of c would make this a perfect square trinomial?
x² - 12x + c

• 36
• 24
• 144
• -36

Multiple Choice

What value of c would make this a perfect square trinomial?
x² + 2x + c

• 2
• 4
• -2
• 1

Multiple Choice

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

• 4
• 16
• 64
• -16

Multiple Choice

Complete the square for

x² + 6x + ____

(find the missing value that goes in the blank)

• 9

• 12

• 36

• - 9

Multiple Choice

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

• - 196

• 49

• - 49

• 28

Multiple Choice

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144