Factoring out the GCF of a quadratic to solve using zero product property

The video tutorial explains the process of factoring out the greatest common factor (GCF) in quadratic equations, with a focus on handling negative factors. It demonstrates how to apply the zero product property to solve equations and discusses the impact of negative factors on solutions. The tutorial concludes by summarizing the solutions obtained through factoring.

What is the significance of factoring out the GCF in the given problem?

How does the presence of a negative factor affect the solutions in this problem?

Why is it helpful to factor out the negative one in this scenario?

Explain the zero product property as applied in this context.

What are the two solutions obtained after factoring in this problem?