Chapter 8.5, Problem 72MR

To determine

To find: The GCF of $24x^2-30x+12$

Answer to Problem 72MR

GCF $=6$

Explanation of Solution

Given information: The expression $24x^2-30x+12$

Calculation:

The prime factors of the terms of $24x^2-30x+12$ are,

  $\begin{array}{l}24x^2=2\cdot 2\cdot 2\cdot 3\cdot x\cdot x\\ 30x=2\cdot 3\cdot 5\cdot x\\ 12=2\cdot 2\cdot 3\end{array}$

Thus, the GCF of the terms of the polynomial is $2\cdot 3=6$