Simplifying the quotient of two rational expression by factoring

The video tutorial explains how to divide fractions by converting the division problem into a multiplication problem using the reciprocal. It covers rewriting the problem, factoring expressions, and simplifying by dividing out common factors. The tutorial also discusses constraints on the variable X to avoid making the denominator zero.

What is the first step in solving a division problem involving fractions?

• Add the fractions

• Subtract the fractions

• Convert the division into a multiplication problem using the reciprocal

• Multiply the fractions directly

How can the expression X^2 - 4 be factored?

• (X - 2)(X + 2)

• (X - 4)(X + 4)

• (X - 3)(X + 3)

• (X - 1)(X + 1)

Which of the following is an example of a perfect square trinomial?

• X^2 - 4

• X^2 + 4X + 4

• X^2 - 9

• X^2 + 6X + 9

What should be done after factoring all expressions in a division problem?

• Divide all the factors

• Cancel out common factors in the numerator and denominator

• Multiply all the factors

• Add all the factors

Why is it important to identify constraints on the variable in a division problem?

• To ensure the variable is positive

• To avoid making the denominator zero

• To make the numerator zero

• To simplify the expression