Question
Subtract polynomials: $ \, \color{blue}{ 6x^2-7x-2 } \, $ , $ \, \color{orangered}{ 6x^2-2x+6 }$.
Answer
$$ \left( \color{blue}{6x^2-7x-2} \right) - \left( \color{orangered}{6x^2-2x+6} \right) = -5x-8 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 6x^2 & -7x & -2 \\ \color{red}{ - } & 6x^2 & -2x & 6 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrr} & 6x^2 & -7x & -2 \\ \color{red}{ - } & -6x^2 & 2x & -6 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 6x^2 & -7x & -2 \\ \color{red}{ - } & -6x^2 & 2x & -6 \\ \hline & 12x^2 & -9x & 4 \end{array} $$This page was created using
Polynomial Operations Calculator