+36916 The last choice 2x^2 + 8x + 22 + 90/(x-4)
Here is my scrawled workings:
+2441 I prefer to use synthetic division, but I am unsure how to display that in LaTeX. I figured out a way to display the work for long division, though.
\(\hspace{24mm}2x^2+\hspace{2mm}8x+22+\frac{90}{x-4}\\ x-4)\overline{2x^3+0x^2-10x+2\quad\quad\quad\quad}\\ \hspace{4mm}-\left(2x^3-8x^2\right)\\ \hspace{9mm}\overline{\quad\quad\quad\quad\quad}\\ \hspace{23mm}8x^2-10x\\ \hspace{16mm}-\left(8x^2-32x\right)\\ \hspace{20mm}\overline{\quad\quad\quad\quad\quad}\\ \hspace{36mm}22x+2\\ \hspace{29mm}-(22x-88)\\ \hspace{30mm}\overline{\quad\quad\quad\quad\quad\quad}\\ \hspace{48mm}90 \)
