Question
Subtract polynomials: $ \, \color{blue}{ -x^2+5x-11 } \, $ , $ \, \color{orangered}{ -x^2+6x-14 }$.
Answer
$$ \left( \color{blue}{-x^2+5x-11} \right) - \left( \color{orangered}{-x^2+6x-14} \right) = -x+3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -x^2 & 5x & -11 \\ \color{red}{ - } & -x^2 & 6x & -14 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -x^2 & 5x & -11 \\ \color{red}{ - } & x^2 & -6x & 14 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -x^2 & 5x & -11 \\ \color{red}{ - } & x^2 & -6x & 14 \\ \hline & -2x^2 & 11x & -25 \end{array} $$This page was created using
Polynomial Operations Calculator