Multiplying & 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 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

What is the first step in dividing rational expressions?

Back

The first step is to multiply by the reciprocal of the divisor.

Tags

CCSS.HSA.APR.D.6

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.

Tags

CCSS.HSA.APR.D.6

Front

What is the formula for multiplying two rational expressions?

Back

If A/B and C/D are rational expressions, then (A/B) * (C/D) = (A*C)/(B*D).

Tags

CCSS.HSA.APR.D.7

Front

What is the formula for dividing two rational expressions?

Back

If A/B and C/D are rational expressions, then (A/B) ÷ (C/D) = (A/B) * (D/C).

Tags

CCSS.HSA.APR.D.6

Front

What are common factors in rational expressions?

Back

Common factors are terms that appear in both the numerator and the denominator that can be canceled out.

Tags

CCSS.HSA.APR.D.6

Front

What is the importance of factoring in rational expressions?

Back

Factoring helps to identify and cancel common factors, making it easier to simplify the expression.

Tags

CCSS.HSA.APR.D.6

Front

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

Back

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

Tags

CCSS.HSA.APR.D.7

Front

What is an example of a rational expression?

Back

An example of a rational expression is (x^2 - 1)/(x + 1).

Tags

CCSS.6.EE.B.5