Solve a rational expression by removing the denominators and then solving a quadratic

The video tutorial covers the process of identifying the least common denominator (LCD) in fractions, factoring expressions, and simplifying equations. It explains the importance of factoring numerators and denominators, especially when dealing with binomials and trinomials. The tutorial demonstrates the application of the distributive property and solving quadratic equations using the zero product property. Finally, it discusses verifying solutions by plugging them back into the original equation to ensure their validity.

What is the first step when adding or subtracting fractions with different denominators?

• Add the denominators

• Multiply the numerators

• Find the Least Common Denominator (LCD)

• Subtract the numerators

How can the expression X^2 - 1 be factored?

• (X + 2)(X - 2)

• (X - 1)(X + 1)

• (X - 1)(X - 1)

• (X + 1)(X + 1)

What is the correct LCD for the expression X + 1 and X^2 - 1?

• X + 1

• X^2 - 1

• (X + 1)(X - 1)

• X + 2

What is the purpose of multiplying each term by the LCD?

• To add the fractions

• To eliminate the denominators

• To subtract the fractions

• To factor the numerators

Which property is used to simplify expressions after multiplying by the LCD?

• Distributive Property

• Identity Property

• Commutative Property

• Associative Property

What is the zero product property used for?

• To multiply two numbers

• To solve equations where the product is zero

• To divide two numbers

• To add two numbers

Which values can X not equal in the given problem?

• 3 and -3

• 2 and -2

• 0 and 1

• 1 and -1