Simplify x^4+4x^3+2x^2+x+4÷(x^2)+3x

$x^{4} + 4 x^{3} + 2 x^{2} + x + 4 \div x^{2} + 3 x$

Step 1

Rewrite the division as a fraction.

$x^{4} + 4 x^{3} + 2 x^{2} + x + \frac{4}{x^{2}} + 3 x$

Step 2

Add $x$ and $3 x$ .

$x^{4} + 4 x^{3} + 2 x^{2} + 4 x + \frac{4}{x^{2}}$