Question
Add $ \, \color{blue}{ 2x+3x-3 } \, $ and $ \, \color{orangered}{ 14x+7x }$.
Answer
$$ \left( \color{blue}{2x+3x-3} \right) + \left( \color{orangered}{14x+7x} \right) = 26x-3 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 5x-3 \\ Q(x) &= 21x \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 5x & -3 \\ \color{blue}{ + } & 21x & \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & 5x & -3 \\ \color{blue}{ + } & 21x & \\ \hline & 26x & -3 \end{array} $$This page was created using
Polynomial Operations Calculator