Question
Add $ \, \color{blue}{ x^2+8x+3 } \, $ and $ \, \color{orangered}{ -7x^2+2x+5 }$.
Answer
$$ \left( \color{blue}{x^2+8x+3} \right) + \left( \color{orangered}{-7x^2+2x+5} \right) = -6x^2+10x+8 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & x^2 & 8x & 3 \\ \color{blue}{ + } & -7x^2 & 2x & 5 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & x^2 & 8x & 3 \\ \color{blue}{ + } & -7x^2 & 2x & 5 \\ \hline & -6x^2 & 10x & 8 \end{array} $$This page was created using
Polynomial Operations Calculator