2023 - 2024 - 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 simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel out any common factors.

Front

What does it mean to multiply rational expressions?

Back

Multiplying rational expressions involves multiplying the numerators together and the denominators together, then simplifying if possible.

Front

What is the process for dividing rational expressions?

Back

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

Front

What is the reciprocal of a rational expression?

Back

The reciprocal of a rational expression is obtained by flipping the numerator and denominator.

Front

What is the first step in multiplying two rational expressions?

Back

The first step is to multiply the numerators together and the denominators together.

Front

What should you do after multiplying rational expressions?

Back

After multiplying, simplify the resulting expression by factoring and canceling common factors.

Front

What is a common mistake when dividing rational expressions?

Back

A common mistake is to forget to take the reciprocal of the divisor.

Front

What is the importance of factoring in rational expressions?

Back

Factoring is important because it allows for simplification by canceling common factors.

Front

Can a rational expression be simplified to 1?

Back

Yes, if the numerator and denominator are identical, the expression simplifies to 1.