College Algebra, Chapter 4, Chapter Review, Section Review, Problem 26

Find the quotient and remainder of the rational function $\displaystyle P(x) = \frac{x^3 + 2x^2 - 10}{x + 3}$



If we let $Q(x)$ and $R(x)$ be the functions of the quotient and the remainder, then by applying long division







Thus, $Q(x) = x^2 - x + 3$ and $R(x) = -19$.