What Is the HIGHEST Power of X That Could Be

Short Answer

What is the HIGHEST power of x that could be involved in the polynomial function rule for these data? Tell how you know.
$\begin{array} { l | l } x & F ( x ) \\\hline 0 & 0 \\\hline 1 & 3 \\\hline 2 & 20 \\\hline 3 & 87 \\\hline 4 & 264 \\\hline 5 & 635 \\\hline\end{array}$