Solve a quadratic equation by factoring when given a difference of 2 squares

The video tutorial explains how to find the roots of quadratic functions by factoring. It begins with factoring out the greatest common factor (GCF) and identifying special factors like the difference of two squares. Alternative methods for solving quadratic equations are also discussed, including using the zero product property. The tutorial concludes with tips for simplifying the process.

What is the first step in finding the root solutions of a quadratic function?

• Factor out the greatest common factor

• Solve for x using the quadratic formula

• Use the zero product property

• Complete the square

What is a characteristic of the difference of two squares?

• It is a linear equation

• Both terms are cube numbers

• It involves addition of two squares

• Both terms are square numbers and it involves subtraction

How can you express the difference of two squares?

• (x + a)(x - a)

• (x - a)(x + b)

• (x - a)(x - b)

• (x + a)(x + b)

What property is used to solve the equation after factoring?

• Zero product property

• Associative property

• Distributive property

• Commutative property

What are the solutions for the equation (x + 4)(x - 4) = 0?

• x = -4 and x = 0

• x = -4 and x = 4

• x = 4 and x = 8

• x = 0 and x = 4