Question
Add $ \, \color{blue}{ 4z-8z^6 } \, $ and $ \, \color{orangered}{ 3z^6+6z }$.
Answer
$$ \left( \color{blue}{4z-8z^6} \right) + \left( \color{orangered}{3z^6+6z} \right) = -5z^6+10z $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -8z^6+4z \\ Q(x) &= 3z^6+6z \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & -8z^6 & 4z \\ \color{blue}{ + } & 3z^6 & 6z \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & -8z^6 & 4z \\ \color{blue}{ + } & 3z^6 & 6z \\ \hline & -5z^6 & 10z \end{array} $$This page was created using
Polynomial Operations Calculator