Chapter 14, Problem 17SGR

To determine

To calculate: The addition of the polynomial $\left(3x-5\right)+\left(-5x+12\right)$ .

Answer to Problem 17SGR

The simplified form of the polynomial $\left(3x-5\right)+\left(-5x+12\right)$ is $-2x+7$ .

Explanation of Solution

Given Information:

The polynomialexpression is $\left(3x-5\right)+\left(-5x+12\right)$ .

Calculation:

The given polynomial is $\left(3x-5\right)+\left(-5x+12\right)$ .

Now, find the simplified form of the polynomial $\left(3x-5\right)+\left(-5x+12\right)$ .

  $\begin{array}{c}\left(3x-5\right)+\left(-5x+12\right)=3x-5-5x+12\\ =3x-5x-5+12\\ =-2x+7\end{array}$

Hence, the simplified form of the polynomial $\left(3x-5\right)+\left(-5x+12\right)$ is $-2x+7$ .