Complete the Square

Front

What is the process to complete the square for a quadratic expression?

Back

1. Take the coefficient of x (b), divide it by 2, and square the result. 2. Add and subtract this value inside the expression.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as (x + a)² or (x - a)².

Front

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

Back

169

Front

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

Back

Divide it by 2 and square the result.

Front

Factor the expression: x² - 4x + 4.

Back

(x - 2)²

Front

Complete the square for x² + 6x + ____. (Find the missing value)

Back

9

Front

Complete the square for x² - 14x + ____. (Find the missing value)

Back

49

Front

What is the formula for completing the square?

Back

x² + bx = (x + b/2)² - (b/2)².

Front

How do you identify a perfect square trinomial?

Back

If the first and last terms are perfect squares and the middle term is twice the product of the square roots of the first and last terms.

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.