Solving a quadratic equation by factoring GCF

The video tutorial explains the process of solving equations by isolating the variable X. It begins with the need to factor expressions and identify the greatest common factor (GCF). The tutorial then demonstrates how to apply the zero product property to find solutions for X. The lesson concludes with a brief overview of the steps covered and hints at future topics.

Why is it important to factor an expression when solving for X?

• To make the equation more complex

• To increase the number of solutions

• To isolate the variable X

• To eliminate the variable X

What is the Greatest Common Factor (GCF) of the terms X^2 and -9X?

• 9

• X

• 1

• X^2

After factoring out the GCF, what is the resulting expression from X^2 - 9X?

• X^2

• X^2 - 9

• X(X - 9)

• X - 9

What does the zero product property allow you to do with the equation X(X - 9) = 0?

• Set each factor equal to zero

• Divide both sides by X

• Add nine to both sides

• Multiply both sides by zero

What are the solutions for X in the equation X(X - 9) = 0?

• X = 0 and X = -9

• X = 9 and X = -9

• X = 9 and X = 1

• X = 0 and X = 9