Question
Subtract polynomials: $ \, \color{blue}{ x^3+4x^2-25x-100 } \, $ , $ \, \color{orangered}{ 10x+50 }$.
Answer
$$ \left( \color{blue}{x^3+4x^2-25x-100} \right) - \left( \color{orangered}{10x+50} \right) = x^3+4x^2-35x-150 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & x^3 & 4x^2 & -25x & -100 \\ \color{red}{ - } & & & 10x & 50 \\ \hline \end{array} $$Step 2: Change ALL the signs in the second row.
$$ \begin{array}{lrrrr} & x^3 & 4x^2 & -25x & -100 \\ \color{red}{ - } & & & -10x & -50 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & x^3 & 4x^2 & -25x & -100 \\ \color{red}{ - } & & & -10x & -50 \\ \hline & x^3 & 4x^2 & -15x & -50 \end{array} $$This page was created using
Polynomial Operations Calculator