Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -29x^2 & 350x & 35000 \\ \color{red}{ - } & & 260x & 1180 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -29x^2 & 350x & 35000 \\ \color{red}{ - } & & -260x & -1180 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -29x^2 & 350x & 35000 \\ \color{red}{ - } & & -260x & -1180 \\ \hline & -29x^2 & 610x & 36180 \end{array} $$