Problem 259: Compute the quotient of 
.
Solution: Rewrite the problem as a long division problem.
![\[-5x - 2 \overline{) -25x^3 - 25x^2 - 16x - 4}\]](https://1problematatime.com/wp-content/ql-cache/quicklatex.com-6816d943ab9d807f70d1f8118a280fd3_l3.png "Rendered by QuickLaTeX.com")
One can now perform the long division.
![\[\begin{matrix} 5x^2 + 3x + 2 \\ -5x - 2 \overline{) -25x^3 - 25x^2 - 16x - 4} \\ \underline{-(-25x^3 - 10x^2)} \\ \qquad \qquad \qquad \qquad \qquad -15x^2 - 16x - 4 \\ \qquad \qquad \qquad \qquad \underline{-(-15x^2 - 6x)} \\ \qquad \qquad \qquad \qquad \qquad \qquad -10x - 4 \\ \qquad \qquad \qquad \qquad \qquad \qquad \underline{-(-10x-4)} \\ \qquad \qquad \qquad \qquad \qquad \qquad \qquad 0 \end{matrix}\]](https://1problematatime.com/wp-content/ql-cache/quicklatex.com-cd3bc26a7c0a838a957ec89bd097a855_l3.png "Rendered by QuickLaTeX.com")
The answer is given by the quotient. That is, 
.
One Problem at a Time
Problem 259: Compute the quotient of .
Solution: Rewrite the problem as a long division problem.
One can now perform the long division.
The answer is given by the quotient. That is, .
Leave a Reply