Rational Expressions -add, subtract, multiply, divide & simplify

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 add rational expressions with different denominators?

Back

To add rational expressions with different denominators, find a common denominator, rewrite each expression, and then combine the numerators.

Front

What is the first step in subtracting rational expressions?

Back

The first step is to find a common denominator, similar to adding rational expressions.

Front

How do you multiply two rational expressions?

Back

To multiply two rational expressions, multiply the numerators together and the denominators together.

Front

What is the process for dividing rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the second expression.

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 the formula for adding two rational expressions?

Back

Front

What is the formula for subtracting two rational expressions?

Back

Front

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

Back

The LCD is the least common multiple of the denominators of the rational expressions.

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.