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