Divide using synthetic division $$ ( -10x+12 ) \div ( -2 ) $$

The synthetic division table is:

$$ \begin{array}{c|rr}0&-10&12\\& & \color{black}{0} \\ \hline &\color{blue}{-10}&\color{orangered}{12} \end{array} $$

The solution is:

$$ \frac{ -10x+12 }{ x } = \color{blue}{-10} ~+~ \frac{ \color{red}{ 12 } }{ x } $$

Step 1 : Write down the coefficients of the dividend into division table.Put the zero at the left.

$$ \begin{array}{c|rr}\color{blue}{0}&-10&12\\& & \\ \hline && \end{array} $$

Step 1 : Bring down the leading coefficient to the bottom row.

$$ \begin{array}{c|rr}0&\color{orangered}{ -10 }&12\\& & \\ \hline &\color{orangered}{-10}& \end{array} $$

Step 2 : Multiply by the number on the left, and carry the result into the next column: $ \color{blue}{ 0 } \cdot \color{blue}{ \left( -10 \right) } = \color{blue}{ 0 } $.

$$ \begin{array}{c|rr}\color{blue}{0}&-10&12\\& & \color{blue}{0} \\ \hline &\color{blue}{-10}& \end{array} $$

Step 3 : Add down last column: $ \color{orangered}{ 12 } + \color{orangered}{ 0 } = \color{orangered}{ 12 } $

$$ \begin{array}{c|rr}0&-10&\color{orangered}{ 12 }\\& & \color{orangered}{0} \\ \hline &\color{blue}{-10}&\color{orangered}{12} \end{array} $$

Bottom line represents the quotient $ \color{blue}{ -10 } $ with a remainder of $ \color{red}{ 12 } $.

Synthetic Division Calculator