Rewriting Rational Expressions Practice Test

Rewrite the rational expression

$$\frac{x^3+2x^2-1}{x+1}$$

in the form $q(x)+\frac{r(x)}{x+1}$ using polynomial long division (or another valid method). Make sure $\deg(r)<\deg(x+1)$.

Rewrite $$\frac{2x^2+7x+1}{x+3}$$ in the form $q(x)+\frac{r(x)}{x+3}$ (quotient plus remainder over divisor), where $\deg(r)<1$.​