Chapter 4.6, Problem 2OE

To determine

To find: The decreasing degree in the variable $n$ for expression $3n-4n^2+n^3-3$ .

Answer to Problem 2OE

The decreasing degree in the variable $n$ for expression $3n-4n^2+n^3-3$ is $n^3-4n^2+3n-3$ .

Explanation of Solution

Given:

The expression is $3n-4n^2+n^3-3$ .

Calculation:

The decreasing degree in the variable $n$ for expression $3n-4n^2+n^3-3$ is calculated as follows:

  $\begin{array}{c}\text{Degree of }3n=1\\ \text{Degree of }-4n^2=2\\ \text{Degree of }{n}^3=3\\ \text{Degree of }-3=0\end{array}$

Arrange in the decreasing degree as follows:

  $n^3-4n^2+3n-3$

Thus, the decreasing degree in the variable $n$ for expression $3n-4n^2+n^3-3$ is $n^3-4n^2+3n-3$ .