Question
Add $ \, \color{blue}{ 4x^2-6x+7 } \, $ and $ \, \color{orangered}{ -19x^2-15x-18 }$.
Answer
$$ \left( \color{blue}{4x^2-6x+7} \right) + \left( \color{orangered}{-19x^2-15x-18} \right) = -15x^2-21x-11 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 4x^2 & -6x & 7 \\ \color{blue}{ + } & -19x^2 & -15x & -18 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 4x^2 & -6x & 7 \\ \color{blue}{ + } & -19x^2 & -15x & -18 \\ \hline & -15x^2 & -21x & -11 \end{array} $$This page was created using
Polynomial Operations Calculator