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