Add $ \, \color{blue}{ 2x^2-5x+8 } \, $ and $ \, \color{orangered}{ 6x^2-7x-12 }$.
Answer
$$ \left( \color{blue}{2x^2-5x+8} \right) + \left( \color{orangered}{6x^2-7x-12} \right) = 8x^2-12x-4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 2x^2 & -5x & 8 \\ \color{blue}{ + } & 6x^2 & -7x & -12 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 2x^2 & -5x & 8 \\ \color{blue}{ + } & 6x^2 & -7x & -12 \\ \hline & 8x^2 & -12x & -4 \end{array} $$This page was created using
Polynomial Operations Calculator