Q. 37 - Intermediate Algebra

Question

In the following exercises, add the polynomials. 

$\left(8x^2-5x+2\right)+\left(3x^2+3\right)$

Step-by-Step Solution

Answer

The sum of the polynomials is $11x^2-5x+5$

Step 1. Given information

$\begin{array}{l}\text{The given expression is }\\ \left(8x^2-5x+2\right)+\left(3x^2+3\right)\\ \text{We have to add the polynomials.}\end{array}$

Step 2. Add the polynomials

$\begin{array}{l}\Rightarrow \left(8x^2-5x+2\right)+\left(3x^2+3\right)\\ =8x^2-5x+2+3x^2+3\left[\text{Rewrite without the parenthese}\right]\\ =8x^2+3x^2-5x+2+3\left[\text{Combine the like terms}\right]\\ =\left(8+3\right)x^2-5x+5\\ =11x^2-5x+5\end{array}$