How to find the LCD to add two rational expressions

The video tutorial reviews simplification from the last class, focusing on factoring trinomials and finding two numbers that multiply to a given product and add to a given sum. It explains the concept of the least common denominator (LCD) and how to find it. The tutorial also covers applying the distributive property to expressions and combining terms to reach a final answer.

What is the factored form of the trinomial X^2 + 5X + 6?

• (X + 1)(X + 6)

• (X + 2)(X + 3)

• (X + 3)(X + 4)

• (X + 2)(X + 4)

Which expression represents the Least Common Denominator (LCD) for the terms (X + 2) and (X + 3)?

• X + 3

• X + 2

• X^2 + 5X + 6

• (X + 2)(X + 3)

Why is it important to factor out expressions when finding the LCD?

• To make the expression longer

• To simplify the process of finding common terms

• To make the expression more complex

• To avoid using the distributive property

What is the result of applying the distributive property to the expression X + 2 + 2(X + 3)?

• X + 2X + 6

• X + 2 + 2X + 6

• 3X + 8

• X^2 + 5X + 6

What is the final simplified form of the expression after combining terms in the numerator?

• X^2 + 5X + 6

• 3X + 8

• X + 2 + 2X + 6

• X + 2X + 6