Q. 38 - Intermediate Algebra

Question

In the following exercises, add the polynomials. 

$\left(7x^2-9x+2\right)+\left(6x^2-4\right)$

Step-by-Step Solution

Answer

The sum of the polynomials is $13x^2-9x-2$

Step 1. Given information

$\begin{array}{l}\text{The given expression is }\\ \left(7x^2-9x+2\right)+\left(6x^2-4\right)\\ \text{We have to add the polynomials.}\end{array}$

Step 2. Add the polynomials

$\begin{array}{l}\Rightarrow \left(7x^2-9x+2\right)+\left(6x^2-4\right)\\ =7x^2-9x+2+6x^2-4\left[\text{Rewrite without the parenthese}\right]\\ =7x^2+6x^2-9x+2-4\left[\text{Combine the like terms}\right]\\ =\left(7+6\right)x^2-9x-2\\ =13x^2-9x-2\end{array}$