Question
Subtract polynomials: $ \, \color{blue}{ 9x^3-4x^2-6x+8 } \, $ , $ \, \color{orangered}{ x^3-x^2+11x+7 }$.
Answer
$$ \left( \color{blue}{9x^3-4x^2-6x+8} \right) - \left( \color{orangered}{x^3-x^2+11x+7} \right) = 8x^3-3x^2-17x+1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 9x^3 & -4x^2 & -6x & 8 \\ \color{red}{ - } & x^3 & -x^2 & 11x & 7 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & 9x^3 & -4x^2 & -6x & 8 \\ \color{red}{ - } & -x^3 & x^2 & -11x & -7 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 9x^3 & -4x^2 & -6x & 8 \\ \color{red}{ - } & -x^3 & x^2 & -11x & -7 \\ \hline & 10x^3 & -5x^2 & 5x & 15 \end{array} $$This page was created using
Polynomial Operations Calculator