Setting your quadratic equation equal to zero so that you can factor out GCF and solve

The video tutorial explains how to solve quadratic equations by setting them equal to zero, factoring, and applying the zero product property. It begins with the importance of setting equations to zero, especially when dealing with two variables. The tutorial then demonstrates factoring by identifying the greatest common factor and rewriting the equation as a product of expressions. Finally, it applies the zero product property to solve the equation, providing a solution set.

What is the first step in solving a quadratic equation?

• Set the equation equal to zero

• Multiply all terms by a constant

• Add a constant to both sides

• Divide by the coefficient of x

When rearranging a quadratic equation, what should you replace F of X or Y with?

• Zero

• X

• The coefficient of X

• 1

What is the greatest common factor (GCF) used for in factoring a quadratic equation?

• To divide the equation

• To add to the equation

• To multiply the equation

• To simplify the equation

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

• Multiply the factors

• Set each factor equal to zero

• Add the factors together

• Divide the factors by zero

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

• X = 1 and X = -1

• X = 0 and X = 3

• X = 0 and X = -3

• X = 3 and X = -3