Add $ \, \color{blue}{ 3x^2-3x+9 } \, $ and $ \, \color{orangered}{ -5x^2-8x-7 }$.
Answer
$$ \left( \color{blue}{3x^2-3x+9} \right) + \left( \color{orangered}{-5x^2-8x-7} \right) = -2x^2-11x+2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 3x^2 & -3x & 9 \\ \color{blue}{ + } & -5x^2 & -8x & -7 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 3x^2 & -3x & 9 \\ \color{blue}{ + } & -5x^2 & -8x & -7 \\ \hline & -2x^2 & -11x & 2 \end{array} $$This page was created using
Polynomial Operations Calculator