It appears that you reversed the two functions when setting up the division problem. Start with $\displaystyle\frac{{f{{\left({x}\right)}}}}{{g{{\left({x}\right)}}}}=\frac{{{{x}}^{{2}}+{2}{x}-{8}}}{{{2}{{x}}^{{2}}+{14}{x}-{36}}}\usepackage{cmbright}\Huge\$ and then factor the numerator and the denominator.