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