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