Completing the square.

Front

What is the process to complete the square for the expression x^2 - 10x?

Back

To complete the square, take half of the coefficient of x (which is -10), square it (resulting in 25), and add it to the expression: x^2 - 10x + 25.

Front

What is the value of 'c' in the expression x^2 + 26x + c to make it a perfect square trinomial?

Back

The value of 'c' is 169, since (26/2)^2 = 169.

Front

What is a perfect square trinomial?

Back

A perfect square trinomial is an expression that can be factored into the square of a binomial, such as (x + a)^2 = x^2 + 2ax + a^2.

Front

Complete the square for the expression x^2 - 12x + ___.

Back

The missing value is 36, since (-12/2)^2 = 36.

Front

What do you do to the b value in the expression ax^2 + bx + c to complete the square?

Back

Divide the b value by 2 and square the result.

Front

Identify the equivalent expression for the perfect square trinomial x^2 + 14x + 49.

Back

The equivalent expression is (x + 7)^2.

Front

What is the first step in completing the square for the expression x^2 + bx?

Back

The first step is to take half of b, square it, and add it to the expression.

Front

If you have the expression x^2 + 8x, what value do you add to complete the square?

Back

You add 16, since (8/2)^2 = 16.

Front

What is the completed square form of the expression x^2 - 4x + 4?

Back

The completed square form is (x - 2)^2.

Front

How do you convert the expression x^2 + 6x + 9 into its completed square form?

Back

It can be written as (x + 3)^2.