Question

use long division to express the function x²-3x+7/x+2 as the sum of a polynomial function and a rational function of the form A/x+2, where a is constant

Answer 1

so $\frac{x^2-3x+7}{x+2}=(x-5)+\frac{17}{x+2}$

$\implies f(x)=(x-5)+\frac{17}{x+2}$