Question
Subtract polynomials: $ \, \color{blue}{ 6x^3-4x^2+10x-7 } \, $ , $ \, \color{orangered}{ 3x^3-4x^2-2x+10 }$.
Answer
$$ \left( \color{blue}{6x^3-4x^2+10x-7} \right) - \left( \color{orangered}{3x^3-4x^2-2x+10} \right) = 3x^3+12x-17 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 6x^3 & -4x^2 & 10x & -7 \\ \color{red}{ - } & 3x^3 & -4x^2 & -2x & 10 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & 6x^3 & -4x^2 & 10x & -7 \\ \color{red}{ - } & -3x^3 & 4x^2 & 2x & -10 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 6x^3 & -4x^2 & 10x & -7 \\ \color{red}{ - } & -3x^3 & 4x^2 & 2x & -10 \\ \hline & 9x^3 & -8x^2 & 8x & 3 \end{array} $$This page was created using
Polynomial Operations Calculator