# How do you divide x^2/(2x + 4( using polynomial long division?

$\frac{1}{2} x - 1 + 2 \left(\frac{2}{x + 2}\right)$
You choose a term that multiplies the left hand side to give the same as what is present on the right hand side. This term gets written on top. You proceed until the largest power on the left hand side is greater than the largest power on the right hand side (in this case ${x}^{1} > {x}^{0}$). The final answer is equal to the polynomial written on top plus any remainder divided by the divisor term.