A2 ~ 4.1 Multiplying & Dividing Rational Expressions Review

Front

What is a rational expression?

Back

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

Front

How do you multiply rational expressions?

Back

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

Front

What is the first step in dividing rational expressions?

Back

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

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.

Front

What is a common factor in rational expressions?

Back

A common factor is a term that appears in both the numerator and the denominator of a rational expression.

Front

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

Back

The least common denominator is the smallest expression that can be used as a denominator for all rational expressions involved.

Front

What is the result of multiplying (2x)/(3) by (3)/(4x)?

Back

The result is (1/2) after simplifying.

Front

What is the result of dividing (x^2 - 1)/(x + 1) by (x - 1)/(x^2 + x)?

Back

The result is (x - 1)/(x + 1) after simplifying.

Front

What is the formula for multiplying two binomials?

Back

(a + b)(c + d) = ac + ad + bc + bd.

Front

What is the difference between multiplying and dividing rational expressions?

Back

Multiplying involves direct multiplication of numerators and denominators, while dividing involves multiplying by the reciprocal.