11-4 Assignment

Front

What is a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Front

How do you multiply rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

Front

What is the process for dividing rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the divisor and simplify.

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

Front

What is the first step in multiplying and simplifying rational expressions?

Back

The first step is to factor all polynomials in the numerator and denominator.

Front

What is the result of multiplying (x+2)/(x+3) by (x+1)/(x+4)?

Back

The result is (x+2)(x+1)/((x+3)(x+4)).

Front

How do you identify common factors in rational expressions?

Back

Common factors can be identified by factoring the numerator and denominator and looking for identical terms.

Front

What is the importance of finding the least common denominator (LCD) in rational expressions?

Back

The LCD is important for adding or subtracting rational expressions, as it allows you to combine them into a single expression.

Front

What is the formula for adding two rational expressions?

Back

To add two rational expressions, find the LCD, rewrite each expression with the LCD, and then combine the numerators.

Front

What is the difference between a proper and improper rational expression?

Back

A proper rational expression has a degree of the numerator less than the degree of the denominator, while an improper one has a degree of the numerator greater than or equal to the denominator.