## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$3x-1+\frac{ x-2}{x^2}$
By dividing each term of the polynomial by $x^2$, we have $$\frac{3x^3-x^2+x-2}{x^2}=3x-1+\frac{ x-2}{x^2}.$$ Checking: $$x^2(3x-1)+ x-2=3x^3-x^2+x+1 .$$