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.

Front

How do you multiply two rational expressions?

Back

To multiply two 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 in dividing rational expressions 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 fractions?

Back

The formula for multiplying two fractions is (a/b) * (c/d) = (a*c)/(b*d).

Tags

CCSS.5.NF.B.6

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction a/b is b/a.

Front

What are common factors in polynomials?

Back

Common factors in polynomials are terms that can be factored out from both the numerator and the denominator.

Front

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

Back

Factoring is important because it allows you to identify and cancel common factors, simplifying the expression.

Tags

CCSS.HSA.APR.D.6

Front

What is the result of multiplying a rational expression by zero?

Back

The result of multiplying a rational expression by zero is zero.

Tags

CCSS.HSA.APR.D.7

Front

What is a polynomial?

Back

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