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.

Why might students get confused when dealing with negative signs in factoring problems?

• Negative signs change the solutions.

• Negative signs are not allowed in factoring.

• Negative signs can be ignored.

• Negative signs can affect the application of the zero product property.

What is the first step in factoring out a common factor from an expression?

• Divide the expression by a variable.

• Identify and factor out the greatest common factor.

• Add a constant to the expression.

• Multiply the expression by zero.

How does factoring out a negative sign affect the equation?

• It makes the equation unsolvable.

• It simplifies the equation but does not change the solutions.

• It changes the equation to a positive one.

• It eliminates the need for further factoring.

What does the zero product property allow you to do with a factored equation?

• Ignore the factors completely.

• Multiply the factors by zero.

• Set each factor equal to zero to find solutions.

• Add the factors together.

What are the solutions for the equation after applying the zero product property?

• X = 0 and X = 1

• X = 0 and X = -1

• X = 1 and X = -1

• X = 1 and X = 2