Question
Add $ \, \color{blue}{ k-3-3k^2 } \, $ and $ \, \color{orangered}{ -5k^2+6k^3-8k }$.
Answer
$$ \left( \color{blue}{k-3-3k^2} \right) + \left( \color{orangered}{-5k^2+6k^3-8k} \right) = 6k^3-8k^2-7k-3 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -3k^2+k-3 \\ Q(x) &= 6k^3-5k^2-8k \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrrrr} & & -3k^2 & k & -3 \\ \color{blue}{ + } & 6k^3 & -5k^2 & -8k & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrrrr} & & -3k^2 & k & -3 \\ \color{blue}{ + } & 6k^3 & -5k^2 & -8k & \\ \hline & 6k^3 & -8k^2 & -7k & -3 \end{array} $$This page was created using
Polynomial Operations Calculator