Chapter 14, Problem 6PT

To determine

To calculate: The simplified form of the polynomial $\left(x+5\right)+\left(2x+x^2-2\right)$ .

Answer to Problem 6PT

The simplified form of the polynomial $\left(x+5\right)+\left(2x+x^2-2\right)$ is $x^2+3x+3$ .

Explanation of Solution

Given Information:

The polynomialexpression is $\left(x+5\right)+\left(2x+x^2-2\right)$ .

Calculation:

The given polynomial is $\left(x+5\right)+\left(2x+x^2-2\right)$ .

Now, find the simplified form of the polynomial $\left(x+5\right)+\left(2x+x^2-2\right)$ .

  $\begin{array}{c}\left(x+5\right)+\left(2x+x^2-2\right)=x+5+2x+x^2-2\\ =x^2+x+2x+5-2\\ =x^2+3x+3\end{array}$

Hence, the simplified form of the polynomial $\left(x+5\right)+\left(2x+x^2-2\right)$ is $x^2+3x+3$ .