Complete the Square

Front

What is the first step to complete the square for a quadratic equation?

Back

Identify the coefficient of x, which is the b value.

Front

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

Back

Divide it by 2 and square the result.

Front

Complete the square for x² + 12x + ____. What is the missing number?

Back

36

Front

Complete the square for x² - 14x + ____. What is the missing number?

Back

49

Front

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

Back

1

Front

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

Back

16

Front

What is a perfect square trinomial?

Back

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

Front

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

Back

Take (b/2)².

Front

What is the completed square form of x² + 12x?

Back

(x + 6)² - 36.

Front

What is the completed square form of x² - 14x?

Back

(x - 7)² - 49.