Solving a rational Equation

The video tutorial explains how to solve rational equations by eliminating fractions using the least common denominator (LCD). It demonstrates the process of multiplying each term by the LCD to remove denominators, leading to a quadratic equation. The tutorial then covers solving the quadratic equation by factoring and applying the zero product property, resulting in two solutions for the equation.

What is the first step in solving a rational equation by eliminating fractions?

• Applying the zero product property

• Isolating the variable

• Determining the Least Common Denominator

• Finding the greatest common factor

Why do we set a quadratic equation to zero before factoring?

• To find the greatest common factor

• To simplify the equation

• To eliminate fractions

• To apply the zero product property

Which of the following is a correct factorization of the equation X^2 - X - 2 = 0?

• (X + 2)(X - 1)

• (X - 1)(X + 2)

• (X - 2)(X + 1)

• (X + 1)(X - 2)

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

• Distributive property

• Associative property

• Zero product property

• Commutative property

What are the solutions to the equation X^2 - X - 2 = 0?

• X = 0 and X = 2

• X = -1 and X = 2

• X = 2 and X = -1

• X = 1 and X = -2