Rewriting Rational Expressions Practice Test

Express $$\frac{2x^4-3x^3+x^2+4}{x^2+2}$$ as $q(x)+\frac{r(x)}{x^2+2}$ using polynomial division, where $\deg(r)<2$.

Use polynomial long division (or inspection) to rewrite the rational expression $\dfrac{2x^3+3x^2-5x+7}{x-2}$ in the form $q(x)+\dfrac{r(x)}{x-2}$, where $\deg(r)<\deg(x-2)$.