Rational Expressions Practice

Front

What is a rational expression?

Back

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

Front

How do you simplify a rational expression?

Back

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

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 completely?

Back

Simplifying completely means reducing the expression to its simplest form, where no further factoring or cancellation is possible.

Front

What is the significance of finding common factors in rational expressions?

Back

Finding common factors allows for simplification, making calculations easier and clearer.

Front

How do you handle rational expressions with variables?

Back

Treat variables like constants when factoring, but be mindful of their restrictions (e.g., values that make the denominator zero).

Front

Back

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables raised to whole number powers and coefficients.

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.

Front

What is the importance of factoring in rational expressions?

Back

Factoring is crucial for simplifying expressions and solving equations involving rational expressions.