How to complete the square by factoring out a negative 3

The video tutorial explains the process of completing the square in quadratic equations. It begins with the importance of having the leading coefficient as one and proceeds to factor out terms to create a perfect square trinomial. The instructor highlights common mistakes, such as incorrect multiplication, and emphasizes the need for balance in equations. The tutorial concludes with the final steps to factor the trinomial into a binomial squared and adjust the equation accordingly.

What is the first step in completing the square when the leading coefficient is not one?

• Multiply the equation by zero

• Factor out the leading coefficient

• Divide the entire equation by the leading coefficient

• Add a constant to both sides

How do you form a perfect square trinomial?

• Subtract the square of the leading coefficient

• Multiply the middle term by two

• Add the square of the constant term

• Take half of the middle term and square it

What common mistake do students make when completing the square?

• Forgetting to factor out the leading coefficient

• Not squaring the middle term

• Ignoring the multiplication factor when adding a constant

• Adding instead of subtracting the constant

Why is it necessary to adjust the equation after adding a constant?

• To simplify the equation

• To ensure the equation remains balanced

• To eliminate the constant term

• To make the equation more complex

What is the final form of a perfect square trinomial?

• A linear equation

• A binomial squared

• A cubic equation

• A quadratic equation