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