Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 8g^4 & -14g^3 & \\ \color{blue}{ + } & & & 4g^2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 8g^4 & -14g^3 & \\ \color{blue}{ + } & & & 4g^2 \\ \hline & 8g^4 & -14g^3 & 4g^2 \end{array} $$