Completing the Square with a Model for Quadratic Expressions (A > 1)

This video tutorial explains how to complete the square for quadratic expressions where the coefficient 'a' is greater than one. It begins with an introduction to quadratic expressions and a review of their components. The tutorial then demonstrates how to build a square model from a quadratic expression and provides a step-by-step guide to completing the square. The video emphasizes common misconceptions and clarifies the correct mathematical operations involved in the process.

What is the main focus of the lesson when dealing with quadratic expressions?

• Graphing quadratic functions

• Finding the roots of quadratic equations

• Completing the square when a is greater than one

• Solving quadratic equations

In the expression 2x^2 + 5x + 8, what is the value of the coefficient a?

• 8

• 2

• 1

• 5

Which of the following is a common misconception about multiplying x terms?

• x * x = 2x

• x^2 + x^2 = 2x^2

• x * x = x^2

• x + x = 2x

What are the dimensions of the square built from the expression x^2 + 4x + 4?

• x + 4 by x + 4

• x + 1 by x + 1

• x + 2 by x + 2

• x + 3 by x + 3

How many squares are built when completing the square for the expression 2x^2 + 8x + 7?

• 4

• 1

• 2

• 3

What transformation is applied to the equation when completing the square?

• Subtracting 1 from both sides

• Adding 1 to both sides

• Multiplying both sides by 2

• Dividing both sides by 2

What is the final form of the completed square for the expression 2x^2 + 8x + 7?

• 2x^2 + 8x + 8

• x^2 + 4x + 4

• 2(x + 2)^2

• x + 2 squared