Question

simplifying rational expressions
rational expression definition\ta ________ of two polynomials. ex: f(x) = ____

Explanation:

A rational expression is defined as a quotient (or fraction) of two polynomials, where the denominator polynomial is not the zero polynomial. For the example, a common rational expression could be $\frac{x + 1}{x^2 - 1}$ (as long as the denominator isn't zero for the domain). So the first blank is "quotient" (or "fraction") and the example can be a valid rational expression like $\frac{x + 2}{x - 1}$ (with appropriate non - zero denominator conditions).

Answer:

First blank: quotient (or fraction)
Example (second blank): $\boldsymbol{\frac{x + 2}{x - 1}}$ (any valid rational expression like $\frac{x^2+3x + 2}{x + 1}$ after factoring and noting domain restrictions is also acceptable)