Question
Add $ \, \color{blue}{ 12x^5-3x^4+2x-5 } \, $ and $ \, \color{orangered}{ 8x^4-3x^3+4x+1 }$.
Answer
$$ \left( \color{blue}{12x^5-3x^4+2x-5} \right) + \left( \color{orangered}{8x^4-3x^3+4x+1} \right) = 12x^5+5x^4-3x^3+6x-4 $$
Explanation
Step 1: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrrr} & 12x^5 & -3x^4 & & 2x & -5 \\ \color{blue}{ + } & & 8x^4 & -3x^3 & 4x & 1 \\ \hline \end{array} $$Step 2: Combine like terms (add each column):
$$ \begin{array}{lrrrrr} & 12x^5 & -3x^4 & & 2x & -5 \\ \color{blue}{ + } & & 8x^4 & -3x^3 & 4x & 1 \\ \hline & 12x^5 & 5x^4 & -3x^3 & 6x & -4 \end{array} $$This page was created using
Polynomial Operations Calculator