Solving Quadratics by Completing the Square

The video tutorial explains the technique of completing the square, a method used to solve polynomials that cannot be factored. It begins with an introduction to the concept, followed by examples demonstrating how to factor perfect square polynomials and how to complete the square for non-factorable polynomials. The tutorial also covers handling polynomials with a coefficient on the x-squared term, emphasizing the importance of maintaining balance by performing operations on both sides of the equation.

What is the technique called that will always work for solving polynomials that cannot be factored?

Explain how to factor the polynomial x-squared plus 2x plus 1.

What steps do you take to complete the square for the polynomial x-squared plus 2x minus 6 equals 0?

Describe the process of solving for x after completing the square.

How do you determine the value to add to both sides when completing the square?

What is the significance of the c-term when completing the square?

What should you do if the coefficients lead to fractions when completing the square?