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