Chapter 8, Problem 15CT

To determine

To find:The GCF of the terms of the polynomial $7v^3-10v^2+9v^4$

Answer to Problem 15CT

  $\text{GCF=}{v}^2$

Explanation of Solution

Given information:The polynomial $7v^3-10v^2+9v^4$

Calculation:

The prime factors of the terms of the polynomial are,

  $\begin{array}{l}7v^3=7\cdot v\cdot v\cdot v\\ 10v^2=2\cdot 5\cdot v\cdot v\\ 9v^4=3\cdot 3\cdot v\cdot v\cdot v\cdot v\end{array}$

The GCF is $v\cdot v\text{ or }{v}^2$ .