Using factoring to help us determine the LCD and solve a rational expression

The video tutorial explains how to factor trinomials and the importance of finding the least common denominator (LCD) to eliminate fractions in equations. It guides students through solving equations without fractions and emphasizes the need to check solutions to ensure they do not violate any constraints, such as making the denominator zero.

What is the first step in factoring a trinomial?

• Divide the trinomial by its highest common factor.

• Multiply the trinomial by its LCD.

• Identify two numbers that multiply to the constant term and add to the middle term.

• Add the coefficients of the trinomial.

Why is it important to find the Least Common Denominator (LCD) when dealing with fractions?

• To divide fractions accurately.

• To multiply fractions more easily.

• To eliminate fractions from the equation.

• To add fractions with different denominators.

What happens when you multiply an equation by its LCD?

• The denominators are eliminated.

• The equation becomes more complex.

• The equation is divided by the LCD.

• The equation remains unchanged.

After solving an equation, why is it important to check the solution?

• To confirm the solution is positive.

• To verify the solution does not make any denominator zero.

• To ensure the solution is a whole number.

• To check if the solution is a fraction.

What should you do if your solution makes a denominator zero?

• Consider the solution as no solution.

• Ignore the zero denominator.

• Accept the solution as correct.

• Multiply the solution by the LCD.