Chapter 8.2, Problem 16PPE

To determine

To find the GCD of the polynomial $8w^2-18w$ .

Answer to Problem 16PPE

The GCD of the given polynomial is $2w$ .

Explanation of Solution

Given information:

Given polynomial $8w^2-18w$

GCD is the greatest common factor in all the terms of $8w^2-18w$

  $\begin{array}{l}\text{So},8w^2-18w\text{can}\text{be}\text{written}\text{as}2w\left(4w\right)-2w\left(9\right)\\ i.e8w^2-18w=2w\left(4w-9\right)\end{array}$

Thus, $2w$ is the greatest common factor in all the terms of $8w^2-18w$

Hence, the GCD of the given polynomial is $2w$ .