Identify the vertex and max min by completing the square

The video tutorial explains the concept of square numbers and how to create perfect square trinomials. It covers the process of finding the middle term in a trinomial and balancing equations by adding and subtracting. The tutorial also demonstrates how to factor trinomials into binomial squares. The session concludes with a recognition of students for demonstrating positive choices.

What is a necessary condition for a trinomial to be a perfect square trinomial?

• The middle term must be zero.

• The last term must be a square number.

• The first term must be a constant.

• The trinomial must have three different variables.

How do you find the value needed to complete the square?

• Add the middle term to the first term.

• Subtract the middle term from the last term.

• Divide the middle term by two and square it.

• Multiply the middle term by two.

What is the result of completing the square for the expression with a middle term of 12?

• The perfect square trinomial is formed by adding 12.

• The perfect square trinomial is formed by adding 24.

• The perfect square trinomial is formed by adding 36.

• The perfect square trinomial is formed by adding 48.

Why is it important to balance the equation when completing the square?

• To make the equation easier to solve.

• To ensure the equation remains a quadratic.

• To keep the equation equal on both sides.

• To eliminate the middle term.

What is the significance of recognizing students in the context of the video?

• It serves as a metaphor for balancing equations.

• It highlights the importance of positive behavior.

• It demonstrates the application of perfect square trinomials.

• It is unrelated to the mathematical content.