Chapter 8.7, Problem 66MR

To determine

To find:The GCF of the terms of the polynomial $9m^3+15m^2-21m$

Answer to Problem 66MR

  $\text{GCF}=3m$

Explanation of Solution

Given information:The expression $9m^3+15m^2-21m$

Calculation:

The prime factors of the terms of the polynomial $9m^3+15m^2-21m$ are

  $\begin{array}{l}9m^3=3\cdot 3\cdot m\cdot m\cdot m\\ 15m^2=3\cdot 5\cdot m\cdot m\\ 21m=3\cdot 7\cdot m\end{array}$

Thus, the GCF of the terms of the polynomial $9m^3+15m^2-21m$ is $3\cdot m\text{ or }3m$ .