Add $ \, \color{blue}{ 4x^2+x+5 } \, $ and $ \, \color{orangered}{ 7x^2-3x-3 }$.
Answer
$$ \left( \color{blue}{4x^2+x+5} \right) + \left( \color{orangered}{7x^2-3x-3} \right) = 11x^2-2x+2 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 4x^2 & x & 5 \\ \color{blue}{ + } & 7x^2 & -3x & -3 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 4x^2 & x & 5 \\ \color{blue}{ + } & 7x^2 & -3x & -3 \\ \hline & 11x^2 & -2x & 2 \end{array} $$This page was created using
Polynomial Operations Calculator