Q. 39 - Intermediate Algebra

Question

In the following exercises, add the polynomials. 

$\left(5a^2+8\right)+\left(a^2-4a-9\right)$

Step-by-Step Solution

Answer

The sum of polynomials is $6a^2-4a-1$

Step 1. Given information

$\begin{array}{l}\text{The given expression is }\\ \left(5a^2+8\right)+\left(a^2-4a-9\right)\\ \text{We have to add the polynomials.}\end{array}$

Step 2. Add the polynomials

$\begin{array}{l}\Rightarrow \left(5a^2+8\right)+\left(a^2-4a-9\right)\\ =5a^2+8+a^2-4a-9\left[\text{Rewrite without the parenthese}\right]\\ =5a^2+a^2-4a+8-9\left[\text{Combine the like terms}\right]\\ =\left(5+1\right)a^2-4a-1\\ =6a^2-4a-1\end{array}$