Operations with 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 least common denominator (LCD)?

Back

The least common denominator is the smallest expression that can be used as a common denominator for two or more fractions.

Front

How do you add rational expressions?

Back

To add rational expressions, first find the least common denominator (LCD), rewrite each expression with the LCD, and then combine the numerators.

Front

How do you subtract rational expressions?

Back

To subtract rational expressions, find the least common denominator (LCD), rewrite each expression with the LCD, and then subtract the numerators.

Front

What is the process for multiplying rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify 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 does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials.

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

How do you find the domain of a rational expression?

Back

The domain of a rational expression includes all real numbers except those that make the denominator equal to zero.