Question
Add $ \, \color{blue}{ 4x^5+3x-5 } \, $ and $ \, \color{orangered}{ 2x^5-x^3+2 }$.
Answer
$$ \left( \color{blue}{4x^5+3x-5} \right) + \left( \color{orangered}{2x^5-x^3+2} \right) = 6x^5-x^3+3x-3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 4x^5 & & 3x & -5 \\ \color{blue}{ + } & 2x^5 & -x^3 & & 2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 4x^5 & & 3x & -5 \\ \color{blue}{ + } & 2x^5 & -x^3 & & 2 \\ \hline & 6x^5 & -x^3 & 3x & -3 \end{array} $$This page was created using
Polynomial Operations Calculator