Add $ \, \color{blue}{ 6x+10 } \, $ and $ \, \color{orangered}{ -7x-2-9x }$.

$$ \left( \color{blue}{6x+10} \right) + \left( \color{orangered}{-7x-2-9x} \right) = -10x+8 $$

Step 1: First we have to write polynomials in descending order.

$$ \begin{aligned} P(x) &= 6x+10 \\ Q(x) &= -16x-2 \\ \end{aligned} $$

Step 2: Write second polynomial below the first one. Making sure like terms are lined up.

$$ \begin{array}{lrr} & 6x & 10 \\ \color{blue}{ + } & -16x & -2 \\ \hline \end{array} $$

Step 3: Combine like terms (add each column):

$$ \begin{array}{lrr} & 6x & 10 \\ \color{blue}{ + } & -16x & -2 \\ \hline & -10x & 8 \end{array} $$

Polynomial Operations Calculator