How to Factor Completely to Solve for the Solutions of a Polynomial

The video tutorial explains how to solve equations by factoring, emphasizing the importance of setting equations to zero. It covers factoring out the greatest common factor (GCF) and using the zero product property to solve for X. The tutorial also touches on further factoring using the difference of squares and discusses the number of solutions and graphing the equation.

What is the first step when solving an equation by factoring?

• Find the derivative

• Set the equation equal to zero

• Add a constant to both sides

• Multiply all terms by a constant

What is the greatest common factor (GCF) in the expression 5x^2 - 5x?

• 5x

• x^2

• 5

• x

After factoring out the GCF, what is the remaining expression in the example given?

• x^2 - 1

• 5x^2 - 1

• 5x^2 + 1

• x^2 + 1

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

• Distributive Property

• Zero Product Property

• Commutative Property

• Associative Property

What is the degree of the polynomial discussed in the video?

• 33

• 1

• 2

• 3