Add $ \, \color{blue}{ 7x^3+4x^2+3x+12 } \, $ and $ \, \color{orangered}{ 9x^3-2x^2+5x-8 }$.
Answer
$$ \left( \color{blue}{7x^3+4x^2+3x+12} \right) + \left( \color{orangered}{9x^3-2x^2+5x-8} \right) = 16x^3+2x^2+8x+4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & 7x^3 & 4x^2 & 3x & 12 \\ \color{blue}{ + } & 9x^3 & -2x^2 & 5x & -8 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & 7x^3 & 4x^2 & 3x & 12 \\ \color{blue}{ + } & 9x^3 & -2x^2 & 5x & -8 \\ \hline & 16x^3 & 2x^2 & 8x & 4 \end{array} $$This page was created using
Polynomial Operations Calculator