Add $ \, \color{blue}{ 5x^2-2x+6 } \, $ and $ \, \color{orangered}{ x^2+3x-9 }$.
Answer
$$ \left( \color{blue}{5x^2-2x+6} \right) + \left( \color{orangered}{x^2+3x-9} \right) = 6x^2+x-3 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 5x^2 & -2x & 6 \\ \color{blue}{ + } & x^2 & 3x & -9 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 5x^2 & -2x & 6 \\ \color{blue}{ + } & x^2 & 3x & -9 \\ \hline & 6x^2 & x & -3 \end{array} $$This page was created using
Polynomial Operations Calculator