Q. 33 - Intermediate Algebra

Question

In the following exercises, add the polynomials. 

$\left(5y^2+12y+4\right)+\left(6y^2-8y+7\right)$

Step-by-Step Solution

Answer

The sum of the polynomials is $11y^2+4y+11.$

Step 1. Given information

$\begin{array}{l}\text{The given expression is }\\ \left(5y^2+12y+4\right)+\left(6y^2-8y+7\right)\\ \text{We have to add the polynomials.}\end{array}$

Step 2. Add the polynomials

$\begin{array}{l}\Rightarrow \left(5y^2+12y+4\right)+\left(6y^2-8y+7\right)\\ =5y^2+12y+4+6y^2-8y+7\left[\text{Rewrite without the parenthese}\right]\\ =5y^2+6y^2+12y-8y+4+7\left[\text{Combine the like terms}\right]\\ =\left(5+6\right)y^2+\left(12-8\right)y+11\\ =11y^2+4y+11\end{array}$