Factoring out a GCF then factoring using various methods

The video tutorial explains how to solve equations by factoring, emphasizing the importance of factoring out the greatest common factor (GCF) first. It demonstrates the process of simplifying the equation by setting it to zero and factoring out a number, in this case, 3. The tutorial then uses the diamond method to find two numbers that multiply to a specific value and add to another. Finally, it shows how to rewrite the equation in factored form and apply the zero product property to find the solution.

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

• Complete the square

• Factor out the Greatest Common Factor (GCF)

• Use the quadratic formula

• Set the equation to zero

Why is it easier to factor a quadratic equation when the leading coefficient is one?

• It simplifies the factoring process

• It eliminates the need for the quadratic formula

• It reduces the number of terms

• It makes the equation linear

What is the purpose of the diamond method in factoring?

• To rewrite the equation in standard form

• To determine the roots of the equation

• To find the GCF

• To find two numbers that multiply to a product and add to a sum

After factoring the quadratic equation, what property is used to find the solutions?

• Commutative Property

• Distributive Property

• Zero Product Property

• Associative Property

What are the solutions to the equation X^2 + 4X - 12 = 0 after factoring?

• X = -4 and X = 3

• X = 6 and X = -2

• X = 4 and X = -3

• X = -6 and X = 2