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