Add $ \, \color{blue}{ 8x-3x+8 } \, $ and $ \, \color{orangered}{ 6x-9x+4 }$.
Answer
$$ \left( \color{blue}{8x-3x+8} \right) + \left( \color{orangered}{6x-9x+4} \right) = 2x+12 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 5x+8 \\ Q(x) &= -3x+4 \\ \end{aligned} $$Step 2: Write second polynomial below the first one. Making sure like terms are lined up.
$$ \begin{array}{lrr} & 5x & 8 \\ \color{blue}{ + } & -3x & 4 \\ \hline \end{array} $$Step 3: Combine like terms (add each column):
$$ \begin{array}{lrr} & 5x & 8 \\ \color{blue}{ + } & -3x & 4 \\ \hline & 2x & 12 \end{array} $$This page was created using
Polynomial Operations Calculator