Question
Add $ \, \color{blue}{ 4x^2-8x-7 } \, $ and $ \, \color{orangered}{ 12x^2+14x-9 }$.
Answer
$$ \left( \color{blue}{4x^2-8x-7} \right) + \left( \color{orangered}{12x^2+14x-9} \right) = 16x^2+6x-16 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & 4x^2 & -8x & -7 \\ \color{blue}{ + } & 12x^2 & 14x & -9 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrr} & 4x^2 & -8x & -7 \\ \color{blue}{ + } & 12x^2 & 14x & -9 \\ \hline & 16x^2 & 6x & -16 \end{array} $$This page was created using
Polynomial Operations Calculator