Question
Subtract polynomials: $ \, \color{blue}{ 3x^{25}-10 } \, $ , $ \, \color{orangered}{ 5x^2-3x-7 }$.
Answer
$$ \left( \color{blue}{3x^{25}-10} \right) - \left( \color{orangered}{5x^2-3x-7} \right) = 3x^{25}-5x^2+3x-3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 3x^{25} & & & -10 \\ \color{red}{ - } & & 5x^2 & -3x & -7 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & 3x^{25} & & & -10 \\ \color{red}{ - } & & -5x^2 & 3x & 7 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 3x^{25} & & & -10 \\ \color{red}{ - } & & -5x^2 & 3x & 7 \\ \hline & 3x^{25} & 5x^2 & -3x & -17 \end{array} $$This page was created using
Polynomial Operations Calculator