Chapter 8.3, Problem 13WE

To determine

To divide : the expression

Answer to Problem 13WE

The quotient is $5z+3$ and remainder is $0$

Explanation of Solution

Given information : The expression is $\frac{15z^3-z^2-11z-3}{3z^2-2z-1}$

Calculation :

By long division method

  $\begin{array}{l}3z^2-2z-1\begin{array}{c}\hfill 5z+3\\ \hfill \overline{)\begin{array}{l}15z^3-z^2-11z-3\\ 15z^3-10z^2-5z\end{array}}\end{array}\\ \underset{\_}{-++}\\ 9z^2-6z-3\\ 9z^2-6z-3\\ \underset{\_}{-+\text{ + }}\\ 0\end{array}$