Completing the Square Practice

Front

What is the completed square form of x² + 4x + 10?

Back

(x + 2)² + 6

Front

Identify the equivalent expression for the perfect square trinomial x² - 18x + 81.

Back

(x - 9)²

Front

What is the completed square form of x² - 6x - 3?

Back

(x - 3)² - 12

Front

Find the missing number to complete the square for x² + 12x + ___.

Back

x² + 12x + 36

Front

Identify the equivalent expression for the perfect square trinomial x² + 14x + 49.

Back

(x + 7)²

Front

What is the formula for completing the square for a quadratic expression ax² + bx + c?

Back

(a(x + b/(2a))² - (b² - 4ac)/(4a))

Front

What does it mean for a quadratic expression to be in completed square form?

Back

It means the expression is written as (x - p)² + q, where p and q are constants.

Front

How do you find the vertex of a parabola from its completed square form?

Back

The vertex is at the point (p, q) in the expression (x - p)² + q.

Front

What is the significance of the term (b/2)² in completing the square?

Back

It is added and subtracted to form a perfect square trinomial.

Front

Convert the quadratic expression x² + 6x + 8 into completed square form.

Back

(x + 3)² - 1