Add $ \, \color{blue}{ 6x^2+2 } \, $ and $ \, \color{orangered}{ x+1+x+15 }$.

$$ \left( \color{blue}{6x^2+2} \right) + \left( \color{orangered}{x+1+x+15} \right) = 6x^2+2x+18 $$

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

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

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

$$ \begin{array}{lrrr} & 6x^2 & & 2 \\ \color{blue}{ + } & & 2x & 16 \\ \hline \end{array} $$

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

$$ \begin{array}{lrrr} & 6x^2 & & 2 \\ \color{blue}{ + } & & 2x & 16 \\ \hline & 6x^2 & 2x & 18 \end{array} $$

Polynomial Operations Calculator