Q. 40 - Intermediate Algebra

Question

In the following exercises, add the polynomials. 

$\left(p^2-6p-18\right)+\left(2p^2+11\right)$

Step-by-Step Solution

Answer

The sum of the polynomials is $3p^2-6p-7$

Step 1. Given information

$\begin{array}{l}\text{The given expression is }\\ \left(p^2-6p-18\right)+\left(2p^2+11\right)\\ \text{We have to add the polynomials.}\end{array}$

Step 2. Add the polynomials

$\begin{array}{l}\Rightarrow \left(p^2-6p-18\right)+\left(2p^2+11\right)\\ =p^2-6p-18+2p^2+11\left[\text{Rewrite without the parenthese}\right]\\ =p^2+2p^2-6p-18+11\left[\text{Combine the like terms}\right]\\ =\left(1+2\right)p^2-6p-7\\ =3p^2-6p-7\end{array}$