solving by completing the square by factoring out a two

The video tutorial explains the process of completing the square for a quadratic equation. It begins with factoring and adjusting the equation to eliminate any coefficient in front of the x² term. The instructor then demonstrates how to create a perfect square trinomial and find the vertex of the equation. Finally, the tutorial covers solving the equation to find its zeros, emphasizing the importance of correctly handling operations like division and square roots.

Describe how to find the vertex of the quadratic function after completing the square.

What mistake do many students make when trying to solve for the roots of the equation?

How does the teacher explain the process of taking the square root of both sides of the equation?