Chapter 14.3, Problem 3MRE

To determine

To find: The quotient and the remainder.

Answer to Problem 3MRE

Quotient is $3x-5$ and remainder is $17$ .

Explanation of Solution

Given information:

An expression is given as −

  $\frac{6x^2-4x+7}{2x+2}$

Calculation:

Given expression is $\frac{6x^2-4x+7}{2x+2}$ .

Applying common division method −

  $2x+2\begin{array}{c}\hfill 3x-5\\ \hfill \overline{)\begin{array}{l}6x^2-4x+7\\ \frac{\begin{array}{l}6x^2+6x\\ --\end{array}}{\begin{array}{l}-10x+7\\ \frac{\begin{array}{l}-10x-10\\ ++\end{array}}{17}\end{array}}\end{array}}\end{array}$

Hence, quotient is $3x-5$ and remainder is $17$ .