Question
Subtract polynomials: $ \, \color{blue}{ -5x^2+5x-5 } \, $ , $ \, \color{orangered}{ 3x^2+x }$.
Answer
$$ \left( \color{blue}{-5x^2+5x-5} \right) - \left( \color{orangered}{3x^2+x} \right) = -8x^2+4x-5 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -5x^2 & 5x & -5 \\ \color{red}{ - } & 3x^2 & x & \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & -5x^2 & 5x & -5 \\ \color{red}{ - } & -3x^2 & -x & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -5x^2 & 5x & -5 \\ \color{red}{ - } & -3x^2 & -x & \\ \hline & -2x^2 & 6x & -5 \end{array} $$This page was created using
Polynomial Operations Calculator