Add $ \, \color{blue}{ -2x^6+x^5-3x^2-4x+7 } \, $ and $ \, \color{orangered}{ x^5+2x^2-4x+4 }$.
Answer
$$ \left( \color{blue}{-2x^6+x^5-3x^2-4x+7} \right) + \left( \color{orangered}{x^5+2x^2-4x+4} \right) = -2x^6+2x^5-x^2-8x+11 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & -2x^6 & x^5 & -3x^2 & -4x & 7 \\ \color{blue}{ + } & & x^5 & 2x^2 & -4x & 4 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & -2x^6 & x^5 & -3x^2 & -4x & 7 \\ \color{blue}{ + } & & x^5 & 2x^2 & -4x & 4 \\ \hline & -2x^6 & 2x^5 & -x^2 & -8x & 11 \end{array} $$This page was created using
Polynomial Operations Calculator