Complete the square

Front

Complete the square for x² + 12x + ____ (find the missing number in the blank)

Back

x² + 12x + 36

Front

Complete the square for x² - 14x + ____ (find the missing value that goes in the blank)

Back

x² - 14x + 49

Front

Complete the square for x² - 16x + ____ (find the missing value that goes in the blank)

Back

x² - 16x + 64

Front

Complete the square for x² + 6x + ____ (find the missing value that goes in the blank)

Back

x² + 6x + 9

Front

What value of c would make this a perfect square trinomial? x² + 18x + c

Back

c = 81

Front

Definition: Perfect Square Trinomial

Back

A trinomial of the form (a + b)² = a² + 2ab + b².

Front

How to complete the square: Step 1

Back

Take the coefficient of x, divide it by 2, and square it.

Front

How to complete the square: Step 2

Back

Add and subtract the squared value inside the equation.

Front

How to complete the square: Step 3

Back

Factor the perfect square trinomial.

Front

Example: Complete the square for x² + 10x + ____

Back

x² + 10x + 25 (25 is (10/2)²).