Q. 36 - Intermediate Algebra

Question

In the following exercises, add the polynomials. 

$\left(y^2+9y+4\right)+\left(-2y^2-5y-1\right)$

Step-by-Step Solution

Answer

The sum of the polynomials is $-y^2+4y+3$

Step 1. Given information

$\begin{array}{l}\text{The given expression is }\\ \left(y^2+9y+4\right)+\left(-2y^2-5y-1\right)\\ \text{We have to add the polynomials.}\end{array}$

Step 2. Add the polynomials

$\begin{array}{l}\Rightarrow \left(y^2+9y+4\right)+\left(-2y^2-5y-1\right)\\ =y^2+9y+4-2y^2-5y-1\left[\text{Rewrite without the parenthese}\right]\\ =y^2-2y^2+9y-5y+4-1\left[\text{Combine the like terms}\right]\\ =\left(1-2\right)y^2+\left(9-5\right)y+3\\ =-y^2+4y+3\end{array}$