Chapter CSB1.2, Problem 28E

To determine

To find: The greatest common factors of the two monomials.

Answer to Problem 28E

  $\text{GCF}=2x$

Explanation of Solution

Given information:

The Venn diagram shows the factors of $10x$ and $18x^2$ .

  

Calculation:

The prime factors of $10x$ and $18x^2$ are,

  $\begin{array}{l}10x=5\cdot 2\cdot x\\ 18x^2=3\cdot 3\cdot 2\cdot x\cdot x\end{array}$

From the Venn diagram it is observed that the intersection of the two sets contains $2,x$ .

Thus, the greatest common factor of $10x$ and $18x^2$ is $2\cdot x=2x$ .