Solution:
Given:
[tex](p^2-6p-18)+(2p^2+11)[/tex]To add the polynomial,
step 1: Open parentheses
[tex]p^2-6p-18+2p^2+11[/tex]step 2: Collect like terms.
[tex]\begin{gathered} p^2-6p-18+2p^2+11 \\ \Rightarrow p^2+2p^2-6p-18+11 \\ =3p^2-6p-7 \end{gathered}[/tex]Hence, we have
[tex]3p^2-6p-7[/tex]