Add $ \, \color{blue}{ -x^5+x^4-x^3+x^2 } \, $ and $ \, \color{orangered}{ x^4+3x^3+2x^2-x-2 }$.
Answer
$$ \left( \color{blue}{-x^5+x^4-x^3+x^2} \right) + \left( \color{orangered}{x^4+3x^3+2x^2-x-2} \right) = -x^5+2x^4+2x^3+3x^2-x-2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrrr} & -x^5 & x^4 & -x^3 & x^2 & & \\ \color{blue}{ + } & & x^4 & 3x^3 & 2x^2 & -x & -2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrrrr} & -x^5 & x^4 & -x^3 & x^2 & & \\ \color{blue}{ + } & & x^4 & 3x^3 & 2x^2 & -x & -2 \\ \hline & -x^5 & 2x^4 & 2x^3 & 3x^2 & -x & -2 \end{array} $$This page was created using
Polynomial Operations Calculator