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