Question
Add $ \, \color{blue}{ 8x^4+24x^3-42x^2-18x+27 } \, $ and $ \, \color{orangered}{ 2x^2+6x-9 }$.
Answer
$$ \left( \color{blue}{8x^4+24x^3-42x^2-18x+27} \right) + \left( \color{orangered}{2x^2+6x-9} \right) = 8x^4+24x^3-40x^2-12x+18 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & 8x^4 & 24x^3 & -42x^2 & -18x & 27 \\ \color{blue}{ + } & & & 2x^2 & 6x & -9 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & 8x^4 & 24x^3 & -42x^2 & -18x & 27 \\ \color{blue}{ + } & & & 2x^2 & 6x & -9 \\ \hline & 8x^4 & 24x^3 & -40x^2 & -12x & 18 \end{array} $$This page was created using
Polynomial Operations Calculator