Simplifying 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 any common factors.

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 multiply rational expressions?

Back

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

Front

What is the formula for dividing two fractions?

Back

Front

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

Back

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

Front

What is the significance of factoring in simplifying rational expressions?

Back

Factoring allows you to identify and cancel common factors in the numerator and denominator.

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 fraction?

Back

A proper fraction has a numerator smaller than the denominator, while an improper fraction has a numerator larger than or equal to the denominator.

Front

What does it mean to 'cancel' in rational expressions?

Back

To 'cancel' means to remove common factors from the numerator and denominator.