Exploring Multiplication and Division of Rational Functions

The video tutorial covers operations with rational functions, focusing on multiplication and division. It explains how these operations are similar to those with fractions, emphasizing simplification techniques. The tutorial demonstrates multiplying and dividing fractions, using the reciprocal method for division, and highlights the importance of cross simplification. It also provides examples of multiplying and dividing rational expressions, ensuring a clear understanding of the processes involved.

Which operation is generally easier when dealing with rational functions?

• Exponentiation

• Addition

• Multiplication

• Subtraction

What is the synonym for a rational function?

• Whole number

• Integer

• Decimal

• Fraction

When multiplying fractions, what is the first step?

• Subtract the denominators

• Divide the numerators

• Add the numerators

• Multiply across the numerators and denominators

What is the simplified form of 10/6?

• 6/10

• 3/5

• 2/3

• 5/3

What is the first rule when simplifying fractions before multiplication?

• Divide the numerators

• Add the denominators

• Multiply the numerators

• Simplify any common factors in the numerator and the denominator

What is the result of 4/26 simplified by a factor of 2?

• 4/13

• 2/26

• 1/13

• 2/13

When dividing fractions, what is the first step?

• Divide the numerators

• Subtract the fractions

• Add the fractions

• Multiply by the reciprocal

What is the simplified form of 18/12?

• 3/2

• 6/4

• 3/1

• 9/6

What happens to common factors in the numerator and denominator during cross simplification?

• They are multiplied

• They cancel out

• They are subtracted

• They are added

What is the final simplified form of the expression involving X + 4, X - 4, Y - 6, and Y + 3?

• X - 4 / Y + 3

• Y - 6 / X + 4

• X + 4 / X - 4

• X + 4 / Y - 6