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

$$ \begin{aligned} P(x) &= 10p^4+11 \\ Q(x) &= 11p^4+16p^2+13 \\ \end{aligned} $$

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

$$ \begin{array}{lrrr} & 10p^4 & & 11 \\ \color{blue}{ + } & 11p^4 & 16p^2 & 13 \\ \hline \end{array} $$

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

$$ \begin{array}{lrrr} & 10p^4 & & 11 \\ \color{blue}{ + } & 11p^4 & 16p^2 & 13 \\ \hline & 21p^4 & 16p^2 & 24 \end{array} $$

Polynomial Operations Calculator