Chapter 8.5, Problem 4MRE

To determine

To calculate: the value of the given expression.

Answer to Problem 4MRE

The value of the expression $\frac{3w^4-4w^2-5}{w^2-2}$ is $3w^2+2$

Explanation of Solution

Given information: Consider the given expression,

  $\frac{3w^4-4w^2-5}{w^2-2}$

Calculation : the following expression is simplified as:

  $\frac{3w^4-4w^2-5}{w^2-2}$

Using long division,

  $w^2-2\begin{array}{c}\hfill 3w^2+2\\ \hfill \overline{)3w^4-4w^2-5}\end{array}$

  $-3w^4-6w^2$

  $2w^2-5$

  $-2w^2-4$

  $-1$

Hence,

The value of the expression $\frac{3w^4-4w^2-5}{w^2-2}$ is $3w^2+2$