Factoring out a GCF then factoring using various methods

The video tutorial explains how to solve a quadratic equation by factoring. It begins by setting the equation to zero and then discusses factoring using the AC method. The tutorial emphasizes the importance of factoring out common terms and demonstrates how to simplify the expression. It further explains how to identify factors that add up to a specific value and concludes by applying the zero product property to solve the equation.

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

• Set the equation equal to zero

• Add 5 to both sides

• Multiply all terms by 2

• Divide by the coefficient of x

Why is it important to factor out common elements in a quadratic equation?

• To eliminate the variable

• To make the equation more complex

• To change the equation's solutions

• To simplify the equation

Which pair of numbers are the correct factors of 8 that add up to 6?

• 8 and 1

• 6 and 2

• 3 and 5

• 4 and 2

What is the factored form of the expression X^2 + 6X + 8?

• (X + 5)(X + 1)

• (X + 3)(X + 3)

• (X + 4)(X + 2)

• (X + 2)(X + 2)

What property is used to solve the equation once it is factored?

• Commutative property

• Associative property

• Distributive property

• Zero product property