Add $ \, \color{blue}{ -3x^3+5x^2+7 } \, $ and $ \, \color{orangered}{ x^2+5x+9 }$.
Answer
$$ \left( \color{blue}{-3x^3+5x^2+7} \right) + \left( \color{orangered}{x^2+5x+9} \right) = -3x^3+6x^2+5x+16 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & -3x^3 & 5x^2 & & 7 \\ \color{blue}{ + } & & x^2 & 5x & 9 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & -3x^3 & 5x^2 & & 7 \\ \color{blue}{ + } & & x^2 & 5x & 9 \\ \hline & -3x^3 & 6x^2 & 5x & 16 \end{array} $$This page was created using
Polynomial Operations Calculator