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