Add $ \, \color{blue}{ x^8+x^5+x^3 } \, $ and $ \, \color{orangered}{ x^8+x^7 }$.
Answer
$$ \left( \color{blue}{x^8+x^5+x^3} \right) + \left( \color{orangered}{x^8+x^7} \right) = 2x^8+x^7+x^5+x^3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & x^8 & & x^5 & x^3 \\ \color{blue}{ + } & x^8 & x^7 & & \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & x^8 & & x^5 & x^3 \\ \color{blue}{ + } & x^8 & x^7 & & \\ \hline & 2x^8 & x^7 & x^5 & x^3 \end{array} $$This page was created using
Polynomial Operations Calculator