Finding the value to make a perfect square trinomial

The video tutorial explains how to complete the square by finding the value of C that makes a quadratic expression a perfect square trinomial. The process involves taking the middle term, dividing it by two, and then squaring it. The tutorial further explains why this method works and how to express the resulting trinomial as a binomial squared.

What is the first step in finding the value of C to complete the square?

• Add the middle term to the constant

• Subtract the middle term from the constant

• Multiply the middle term by two

• Divide the middle term by two

When squaring -9/2, what is the resulting value of C?

• 81/2

• 81/4

• 9/2

• 9/4

Why is it suggested not to reduce the fraction 81/4 in this context?

• It is already in its simplest form

• It helps in maintaining the structure of the perfect square trinomial

• It makes the calculation more complex

• It is easier to work with larger numbers

What expression represents the perfect square trinomial as a binomial squared?

• (X - 9/2)^2

• (X + 9/2)^2

• (X - 81/4)^2

• (X + 81/4)^2

How can you verify that a trinomial is a perfect square?

• By rewriting it as a binomial squared

• By checking if the middle term is twice the square of the constant

• By dividing the trinomial by the middle term

• By ensuring the constant is a perfect square