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 rational expressions?

Back

To multiply rational expressions, factor both the numerators and denominators, then multiply the numerators together and the denominators together.

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 factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the product of (x^2 + 2x)(x + 3)?

Back

The product is x^3 + 5x^2 + 6x.

Front

What is the result of (2x/3) * (9/4x)?

Back

The result is 3/2.

Front

How do you simplify the expression (x^2 - 1)/(x + 1)?

Back

Factor the numerator to get (x - 1)(x + 1)/(x + 1), which simplifies to x - 1.

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables raised to whole number powers and coefficients.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Front

What is the result of dividing (4x^2)/(2x)?

Back

The result is 2x.