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