Solve by factoring out GCF

The video tutorial explains how to solve a quadratic equation by factoring. It begins with identifying the greatest common factor (GCF) of the terms in the equation. The instructor demonstrates factoring out the GCF and verifies the factorization using the distributive property. Finally, the zero-product property is applied to find the solutions to the equation, which are x = 0 and x = -1.

What is the first step in factoring a quadratic equation?

• Apply the zero-product property

• Identify the greatest common factor

• Use the quadratic formula

• Complete the square

When factoring x^2 + x, what is the greatest common factor?

• x^2

• x

• 1

• x + 1

How can you verify that the factorization of x^2 + x is correct?

• By applying the distributive property

• By completing the square

• By graphing the equation

• By using the quadratic formula

What property is used to solve the equation after factoring?

• Zero-product property

• Commutative property

• Distributive property

• Associative property

What are the solutions to the equation x(x + 1) = 0?

• x = 1 and x = -1

• x = 0 and x = 1

• x = 0 and x = -1

• x = 1 and x = 2