Question
Subtract polynomials: $ \, \color{blue}{ -x+2 } \, $ , $ \, \color{orangered}{ x^2+9x-2 }$.
Answer
$$ \left( \color{blue}{-x+2} \right) - \left( \color{orangered}{x^2+9x-2} \right) = -x^2-10x+4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & & -x & 2 \\ \color{red}{ - } & x^2 & 9x & -2 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & & -x & 2 \\ \color{red}{ - } & -x^2 & -9x & 2 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & & -x & 2 \\ \color{red}{ - } & -x^2 & -9x & 2 \\ \hline & x^2 & 8x & \end{array} $$This page was created using
Polynomial Operations Calculator