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