Add $ \, \color{blue}{ 2x^6-3x^2+7 } \, $ and $ \, \color{orangered}{ 2x^3+3x-1 }$.
Answer
$$ \left( \color{blue}{2x^6-3x^2+7} \right) + \left( \color{orangered}{2x^3+3x-1} \right) = 2x^6+2x^3-3x^2+3x+6 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & 2x^6 & & -3x^2 & & 7 \\ \color{blue}{ + } & & 2x^3 & & 3x & -1 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & 2x^6 & & -3x^2 & & 7 \\ \color{blue}{ + } & & 2x^3 & & 3x & -1 \\ \hline & 2x^6 & 2x^3 & -3x^2 & 3x & 6 \end{array} $$This page was created using
Polynomial Operations Calculator