Multiplying and Dividing Rational Expressions

Front

What is a rational expression?

Back

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

Tags

CCSS.HSA.APR.D.7

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.

Tags

CCSS.HSA.APR.D.6

Front

What is the first step in multiplying rational expressions?

Back

The first step is to factor all numerators and denominators.

Tags

CCSS.HSA.APR.D.7

Front

What is the rule for multiplying rational expressions?

Back

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

Tags

CCSS.HSA.APR.D.7

Front

How do you divide rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the divisor.

Tags

CCSS.HSA.APR.D.6

Front

What does it mean to find 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 rational expressions.

Tags

CCSS.HSA.APR.D.7

Front

What is the process for adding rational expressions?

Back

To add rational expressions, first find a common denominator, then combine the numerators and simplify.

Tags

CCSS.HSA.APR.D.7

Front

What is the process for subtracting rational expressions?

Back

To subtract rational expressions, find a common denominator, subtract the numerators, and simplify.

Tags

CCSS.HSA.APR.D.7

Front

What are excluded values in rational expressions?

Back

Excluded values are values of the variable that make the denominator zero, which are not allowed in rational expressions.

Front

How do you identify excluded values in a rational expression?

Back

To identify excluded values, set the denominator equal to zero and solve for the variable.

Tags

CCSS.HSA.APR.D.7