Question
Subtract polynomials: $ \, \color{blue}{ 11x^2+2x-10 } \, $ , $ \, \color{orangered}{ 14x^2-7x-5 }$.
Answer
$$ \left( \color{blue}{11x^2+2x-10} \right) - \left( \color{orangered}{14x^2-7x-5} \right) = -3x^2+9x-5 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 11x^2 & 2x & -10 \\ \color{red}{ - } & 14x^2 & -7x & -5 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 11x^2 & 2x & -10 \\ \color{red}{ - } & -14x^2 & 7x & 5 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 11x^2 & 2x & -10 \\ \color{red}{ - } & -14x^2 & 7x & 5 \\ \hline & 25x^2 & -5x & -15 \end{array} $$This page was created using
Polynomial Operations Calculator