Factoring Quadratic Equations

The video tutorial explains how to solve quadratic equations by factoring. It begins with an introduction to the concept of factoring and the importance of identifying the greatest common factor. The tutorial provides two examples: solving X^2 + 5X = 0 and 7X^2 - 21X = 0. In each example, the process of factoring out the greatest common factor is demonstrated, followed by using the zero product property to find the solutions. The video concludes with a brief wrap-up and a preview of more examples in the next video.

What is the first step in solving a quadratic equation by factoring?

• Multiply the terms

• Factor out the greatest common factor

• Divide by the highest coefficient

• Add the terms together

In the equation x^2 + 5x = 0, what is the greatest common factor?

• x

• 5

• x^2

• 0

After factoring x^2 + 5x = 0, what equation do we get?

• x + 5 = 0

• x^2 + 5 = 0

• x^2 = 5

• x(x + 5) = 0

What are the solutions to the equation x(x + 5) = 0?

• x = 5 and x = -5

• x = 0 and x = 5

• x = 0 and x = -5

• x = 5 and x = 0

What is the greatest common factor in the equation 7x^2 - 21x = 0?

• 7

• x

• 7x

• 21

How can 7x^2 be expressed to identify the common factor?

• 7 * x * x

• 7 + x + x

• 7x + x

• 7x * x

After factoring 7x^2 - 21x = 0, what equation do we get?

• 7x - 3 = 0

• x(x - 3) = 0

• 7x(x - 3) = 0

• 7(x - 3) = 0

What are the solutions to the equation 7x(x - 3) = 0?

• x = 7 and x = 0

• x = 0 and x = -3

• x = 0 and x = 3

• x = 7 and x = 3

What property is used to solve the equation after factoring?

• Commutative property

• Zero product property

• Distributive property

• Associative property

What will be covered in the next video?

• Graphing quadratic equations

• Advanced calculus

• Introduction to linear equations

• More examples of factoring