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