completing the square basic

Front

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

Back

9

Front

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

Back

x² + 12x + 36

Front

What number is added to BOTH sides to complete the square before solving? x² + 4x + ____ = 7 + _____

Back

4

Front

Factor: x² - 4x + 4

Back

(x - 2)²

Front

Factor the perfect square trinomial x² + 14x + 49

Back

(x + 7)²

Front

What is the formula to complete the square for a quadratic equation ax² + bx + c?

Back

(x + b/2a)² - (b² - 4ac)/4a

Front

How do you find the value to complete the square for x² + bx?

Back

Take (b/2)² and add it to both sides.

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial.

Front

Complete the square for x² + 8x + ____ (find the missing value that goes in the blank)

Back

16

Front

Complete the square for x² - 10x + ____ (find the missing value that goes in the blank)

Back

25