Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 6x^5 & & 1 \\ \color{blue}{ + } & 2x^5 & 9x & -1 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 6x^5 & & 1 \\ \color{blue}{ + } & 2x^5 & 9x & -1 \\ \hline & 8x^5 & 9x & \end{array} $$