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