Divide 2x^3+3x^2+5x-4÷(x^2)+x+1

$2 x^{3} + 3 x^{2} + 5 x - 4 \div x^{2} + x + 1$

Rewrite the division as a fraction.

$2 x^{3} + 3 x^{2} + 5 x - \frac{4}{x^{2}} + x + 1$