Rewriting Simple Rational Expressions: Identifying Common Factors

This video tutorial teaches how to identify and use common factors to rewrite rational expressions. It begins with an introduction to common factors, followed by a review of equivalent fractions and the importance of avoiding zero denominators. The main focus is on rewriting rational expressions by identifying common factors and transforming them into equivalent forms. The tutorial includes examples and practice exercises to reinforce the concepts.

Why is it important to ensure the denominator of a fraction is not zero?

• It simplifies the fraction.

• It makes the fraction undefined.

• It makes the fraction equal to one.

• It has no effect on the fraction.

What is the first step in rewriting a rational expression using a common factor?

• Divide the expression by zero.

• Identify the common factor.

• Add a constant to the expression.

• Multiply the numerator and denominator.

In the expression 10x - 15, what is the common factor?

• 15

• x

• 10

• 5

How can the expression 2x(x + 4) be rewritten using the common factor 2x?

• x + 4

• x^2 + 4

• 2x + 4

• 2x^2 + 8

What is the equivalent form of the expression x + 7 over 2x - 3?

• 2x - 3

• 7x + 3

• x + 7

• x + 7 over 2x - 3