Check if $ 3 $ is a factor of $ -33x-40 $.
The synthetic division table is:
$$ \begin{array}{c|rr}0&-33&-40\\& & \color{black}{0} \\ \hline &\color{blue}{-33}&\color{orangered}{-40} \end{array} $$Because the remainder $ \left( \color{red}{ -40 } \right) $ is not zero, we conclude that the $ x $ is not a factor of $ -33x-40$.
First we need to create a synthetic division table.
Step 1 : Write down the coefficients of the dividend into division table.Put the zero at the left.
$$ \begin{array}{c|rr}\color{blue}{0}&-33&-40\\& & \\ \hline && \end{array} $$Step 1 : Bring down the leading coefficient to the bottom row.
$$ \begin{array}{c|rr}0&\color{orangered}{ -33 }&-40\\& & \\ \hline &\color{orangered}{-33}& \end{array} $$Step 2 : Multiply by the number on the left, and carry the result into the next column: $ \color{blue}{ 0 } \cdot \color{blue}{ \left( -33 \right) } = \color{blue}{ 0 } $.
$$ \begin{array}{c|rr}\color{blue}{0}&-33&-40\\& & \color{blue}{0} \\ \hline &\color{blue}{-33}& \end{array} $$Step 3 : Add down last column: $ \color{orangered}{ -40 } + \color{orangered}{ 0 } = \color{orangered}{ -40 } $
$$ \begin{array}{c|rr}0&-33&\color{orangered}{ -40 }\\& & \color{orangered}{0} \\ \hline &\color{blue}{-33}&\color{orangered}{-40} \end{array} $$Remainder is the last entry in the bottom row $ \left(\color{red}{ -40 }\right)$.