Question
Add $ \, \color{blue}{ 4x-6x-5 } \, $ and $ \, \color{orangered}{ -18x+5x-4 }$.
Answer
$$ \left( \color{blue}{4x-6x-5} \right) + \left( \color{orangered}{-18x+5x-4} \right) = -15x-9 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= -2x-5 \\ Q(x) &= -13x-4 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & -2x & -5 \\ \color{blue}{ + } & -13x & -4 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & -2x & -5 \\ \color{blue}{ + } & -13x & -4 \\ \hline & -15x & -9 \end{array} $$This page was created using
Polynomial Operations Calculator