Find all the solutions of a rational equation and check your solution

The video tutorial explains the process of factoring polynomials, identifying unique factors, and finding the least common denominator (LCD). It demonstrates how to multiply terms by the LCD and simplify equations by dividing out common factors. The tutorial also covers applying the distributive property to simplify further and solve the equation.

What is the first step in simplifying polynomials according to the video?

• Dividing by the largest coefficient

• Adding all terms

• Multiplying all terms

• Factoring out common elements

How do you determine the Least Common Denominator (LCD) in the context of the video?

• By identifying and using unique factors

• By dividing the largest term by the smallest

• By multiplying all terms

• By adding all coefficients

Why is it unnecessary to multiply out the terms when finding the LCD?

• It results in incorrect solutions

• The purpose is to use the division property

• It is not mathematically correct

• It makes the equation more complex

What property is applied to simplify the equation after finding the LCD?

• Commutative Property

• Distributive Property

• Associative Property

• Identity Property

What is the final step in solving the equation as demonstrated in the video?

• Dividing by the coefficient of the variable

• Combining like terms and isolating the variable

• Multiplying all terms by the LCD

• Adding all terms to one side