Multiplying and Dividing Rational Expressions

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 first step in dividing rational expressions?

Back

The first step is to multiply by the reciprocal of the divisor.

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 a common factor in rational expressions?

Back

A common factor is a number or variable that appears in both the numerator and the denominator.

Front

What is the importance of factoring in multiplying and dividing rational expressions?

Back

Factoring helps to identify and cancel common factors, making it easier to simplify the expression.

Front

What is the rule for multiplying fractions?

Back

The rule for multiplying fractions is to multiply the numerators and multiply the denominators.

Front

What is the rule for dividing fractions?

Back

The rule for dividing fractions is to multiply by the reciprocal of the divisor.

Front

How do you find the least common denominator (LCD) of rational expressions?

Back

The least common denominator is found by determining the least common multiple of the denominators.

Front

What is an example of a rational expression?

Back

An example of a rational expression is (2x + 3)/(x - 1).