Add $ \, \color{blue}{ 6x^2+3x+1 } \, $ and $ \, \color{orangered}{ -19x^2-2 }$.
Answer
$$ \left( \color{blue}{6x^2+3x+1} \right) + \left( \color{orangered}{-19x^2-2} \right) = -13x^2+3x-1 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 6x^2 & 3x & 1 \\ \color{blue}{ + } & -19x^2 & & -2 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 6x^2 & 3x & 1 \\ \color{blue}{ + } & -19x^2 & & -2 \\ \hline & -13x^2 & 3x & -1 \end{array} $$This page was created using
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