Completing the Square and Quadratics

This video tutorial teaches how to complete the square for quadratic expressions where the coefficient 'a' is greater than one. It begins with a review of quadratic expressions and their coefficients, followed by a demonstration of building a square model. The tutorial addresses common algebraic misconceptions and provides a step-by-step guide to completing the square using a model. The lesson concludes with transforming the equation and summarizing the learned concepts.

What is the main focus of this lesson?

• Solving linear equations

• Completing the square when a is greater than one

• Factoring polynomials

• Graphing quadratic functions

In the expression x squared plus 6x plus 9, what is the value of b?

• 9

• 6

• 1

• 3

How many x squared terms are there in the expression 2x squared plus 5x plus 8?

• 8

• 5

• 1

• 2

What are the dimensions of the square built from the expression x squared plus 4x plus 4?

• x plus 1 by x plus 1

• x plus 2 by x plus 2

• x by x

• x plus 4 by x plus 4

What is the result of x times x?

• x

• 2x

• x squared

• x to the fourth

What is the correct result of x squared plus x squared?

• x to the fourth

• 2x squared

• x squared

• 4x squared

How many additional ones are needed to complete the square for the expression 2x squared plus 8x plus 7?

• Three

• Two

• One

• None

What is the transformed form of two groups of x plus two squared?

• Two times x plus two squared

• x squared plus four

• x plus four squared

• x plus two

What must be added to both sides of the equation to complete the square?

• 8

• 2

• 4

• 1

What is the final form of the equation after completing the square?

• x plus two squared

• Two groups of x plus two squared equals one

• x squared plus 4x plus 4

• 2x squared plus 8x plus 7