Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -8x^2 & & 3 \\ \color{blue}{ + } & x^2 & 3x & -8 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -8x^2 & & 3 \\ \color{blue}{ + } & x^2 & 3x & -8 \\ \hline & -7x^2 & 3x & -5 \end{array} $$