Chapter 14, Problem 3PT

To determine

To calculate: The simplified form of the polynomial $2y^{2}z+15yz-7y^{2}z$ .

Answer to Problem 3PT

The simplified form of the polynomial $2y^{2}z+15yz-7y^{2}z$ is $-5yz\left(y-3\right)$ .

Explanation of Solution

Given Information:

The polynomialexpression is $2y^{2}z+15yz-7y^{2}z$ .

Calculation:

The given polynomial is $2y^{2}z+15yz-7y^{2}z$ .

Now, find the simplified form of the polynomial $2y^{2}z+15yz-7y^{2}z$ .

  $\begin{array}{c}2y^{2}z+15yz-7y^{2}z=2y^{2}z-7y^{2}z+15yz\\ =-5y^{2}z+15yz\\ =-5yz\left(y-3\right)\end{array}$

Hence, the simplified form of the polynomial $2y^{2}z+15yz-7y^{2}z$ is $-5yz\left(y-3\right)$ .