Question
Subtract polynomials: $ \, \color{blue}{ 6x^2+10x-7 } \, $ , $ \, \color{orangered}{ -x^2-8x }$.
Answer
$$ \left( \color{blue}{6x^2+10x-7} \right) - \left( \color{orangered}{-x^2-8x} \right) = 7x^2+18x-7 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 6x^2 & 10x & -7 \\ \color{red}{ - } & -x^2 & -8x & \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 6x^2 & 10x & -7 \\ \color{red}{ - } & x^2 & 8x & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 6x^2 & 10x & -7 \\ \color{red}{ - } & x^2 & 8x & \\ \hline & 5x^2 & 2x & -7 \end{array} $$This page was created using
Polynomial Operations Calculator