Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & x^3 & 4x & \\ \color{blue}{ + } & & x & 9 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & x^3 & 4x & \\ \color{blue}{ + } & & x & 9 \\ \hline & x^3 & 5x & 9 \end{array} $$