Solving a quadratic by factoring a trinomial when a is equal to one

The video tutorial covers solving quadratic equations by factoring. It begins with an introduction to factoring problems and explains why inverse operations used in linear equations are not applicable here. The instructor introduces the diamond method for factoring and demonstrates how to apply the zero product property to find solutions. The tutorial concludes with verifying the solutions by substituting them back into the equation.

What is the first step in solving the quadratic equation X^2 - 6X + 5 = 0?

Explain the diamond method used for factoring in the context of the equation provided.

What does the zero product property state in relation to the factors of the equation?

What are the two solutions to the equation X^2 - 6X + 5 = 0?

How do you verify that the solutions found for the equation are correct?