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