Multiplying & Dividing Rational Expressions

Front

What is a rational expression?

Back

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

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means to reduce it to its simplest form by canceling common factors in the numerator and denominator.

Tags

CCSS.HSA.APR.D.6

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 multiply rational expressions?

Back

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

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 and then simplify.

Tags

CCSS.HSA.APR.D.6

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.

Tags

CCSS.HSA.APR.D.6

Front

What is the result of dividing (x+10)/(6x+60)?

Back

1/6, after factoring the denominator.

Tags

CCSS.HSA.APR.D.6

Front

What is the simplified form of (x-9)/(x+9)?

Back

1/(x+9) when simplified.

Tags

CCSS.HSA.APR.D.6

Front

What is the importance of factoring in multiplying and dividing rational expressions?

Back

Factoring helps to identify and cancel common factors, making simplification easier.

Tags

CCSS.HSA.APR.D.6

Front

What is the simplified form of (x+8)/(6x+60)?

Back

1/6, after factoring the denominator.

Tags

CCSS.HSA.APR.D.6