Question

In the following exercises, add the polynomials.

$\left(x^2+6x+8\right)+\left(-4x^2+11x-9\right)$

Short answer

The sum of the polynomials is$-3x^2+17x-1$

Step-by-step solution

Step 1. Given information

$\begin{array}{l}\text{Thegivenexpressionis}\\ \left(x^2+6x+8\right)+\left(-4x^2+11x-9\right)\\ \text{Wehavetoaddthepolynomials.}\end{array}$

Step 2. Add the polynomials

$\begin{array}{l}\Rightarrow \left(x^2+6x+8\right)+\left(-4x^2+11x-9\right)\\ =x^2+6x+8-4x^2+11x-9\left[\text{Rewritewithouttheparenthese}\right]\\ =x^2-4x^2+6x+11x+8-9\left[\text{Combinetheliketerms}\right]\\ =\left(1-4\right)x^2+\left(6+11\right)x-1\\ =-3x^2+17x-1\end{array}$