Add $ \, \color{blue}{ x^2-3x+7 } \, $ and $ \, \color{orangered}{ 3x^2+5x-9 }$.
Answer
$$ \left( \color{blue}{x^2-3x+7} \right) + \left( \color{orangered}{3x^2+5x-9} \right) = 4x^2+2x-2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & x^2 & -3x & 7 \\ \color{blue}{ + } & 3x^2 & 5x & -9 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & x^2 & -3x & 7 \\ \color{blue}{ + } & 3x^2 & 5x & -9 \\ \hline & 4x^2 & 2x & -2 \end{array} $$This page was created using
Polynomial Operations Calculator