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Chapter 7: Problem 106

Write a rational expression that cannot be simplified.

Short Answer

Expert verified
A rational expression that cannot be simplified is \( \frac {x} {x + 1} \).

Step by step solution

01

Pick the Numerator

Select a polynomial for the numerator. To keep things simple, choose \(p(x) = x\).
02

Pick the Denominator

Now, select a polynomial for the denominator. Choose \(q(x) = x + 1\)
03

Form the rational function

Combine the chosen polynomials in the form \( \frac {p(x)} {q(x)} \). Hence, the rational expression becomes \( \frac {x} {x + 1} \).
04

Check if the fraction can be simplified

Check if there are any common factors between the numerator and the denominator that can be cancelled out. Since there are no common factors between the numerator x and the denominator x + 1, the fraction is in its simplest form.

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