Answer
$3x-6+\frac{2}{x}-\frac{2}{5x^2}$.
Work Step by Step
The given expression is
$=(15x^3-30x^2+10x-2)\div (5x^2)$
Rewrite in vertical format.
$=\frac{15x^3-30x^2+10x-2}{5x^2}$
Divide each term of the polynomial by the monomial.
$=\frac{15x^3}{5x^2}-\frac{30x^2}{5x^2}+\frac{10x}{5x^2}-\frac{2}{5x^2}$
Simplify (Cancel common terms).
$=3x-6+\frac{2}{x}-\frac{2}{5x^2}$.
