Completing the Square Concepts

The video tutorial explains how to find the missing value that completes the square in quadratic expressions. It begins with an introduction to the concept, followed by two examples. The first example demonstrates completing the square for the expression x^2 + 8x, where the missing value is calculated as 16. The second example covers x^2 - 10x, with the missing value determined to be 25. The tutorial emphasizes the importance of taking half of the coefficient of x, squaring it, and ensuring correct input in calculators.

What is the first step in completing the square for the expression x^2 + 8x?

• Square the coefficient of x

• Take half of the coefficient of x

• Add 8 to both sides

• Subtract 8 from both sides

In the expression x^2 + 8x, what is the value of B?

• 4

• 8

• 16

• 2

What is the missing value that completes the square for x^2 + 8x?

• 32

• 16

• 8

• 4

In the expression x^2 - 10x, what is the value of B?

• -10

• 5

• 10

• -5

What is the missing value that completes the square for x^2 - 10x?

• 5

• 10

• 50

• 25

When squaring a negative number, what should you remember to do on a calculator?

• Add 10 to the result

• Place the number in parentheses

• Subtract 5 from the result

• Use the square root function