SAVING THE FUTURE by Simplifying Rational Expressions

Front

Define a rational expression.

Back

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

Front

What is the first step in simplifying a rational expression?

Back

The first step is to factor both the numerator and the denominator completely.

Front

Back

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

Back

Front

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

Back

Canceling common factors simplifies the expression and makes calculations easier.

Front

Back

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents.

Front

Back

Front

What is the difference between a proper and improper fraction?

Back

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