Definition

Multiply binomials. Add, subtract, multiply, and apply the remainder theorem to polynomials.

Example

If $\frac{a}{b} = \frac{x - \frac{1}{2}}{x + \frac{1}{3}}$ and $x \neq -\frac{1}{3}$, which of the following expressions is equal to $ab$?

1. $x^2 - \frac{1}{6}x - \frac{1}{6}$
2. $x^2 - \frac{1}{6}$
3. $x^2 + \frac{1}{2}x - \frac{1}{6}$