Answer
$\frac{1}{2}x^2+2x-1$
Work Step by Step
Dividing each term of the trinomial with the monomial divisor, then
$$\begin{aligned}
&
\frac{2x^4}{4x^2}+\frac{8x^3}{4x^2}-\frac{4x^2}{4x^2}
\\&=
\frac{1}{2}x^2+2x-1
.\end{aligned}$$Hence, the given expression simplifies to $\frac{1}{2}x^2+2x-1$.
