Question
Add $ \, \color{blue}{ 13n^2+11n-2n^4 } \, $ and $ \, \color{orangered}{ -13n^2-3n-6n^4 }$.
Answer
$$ \left( \color{blue}{13n^2+11n-2n^4} \right) + \left( \color{orangered}{-13n^2-3n-6n^4} \right) = -8n^4+8n $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -2n^4+13n^2+11n \\ Q(x) &= -6n^4-13n^2-3n \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrr} & -2n^4 & 13n^2 & 11n \\ \color{blue}{ + } & -6n^4 & -13n^2 & -3n \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrr} & -2n^4 & 13n^2 & 11n \\ \color{blue}{ + } & -6n^4 & -13n^2 & -3n \\ \hline & -8n^4 & & 8n \end{array} $$This page was created using
Polynomial Operations Calculator