Chapter 4.2, Problem 31E

To determine

To find greatest common factor of given monomial.

Answer to Problem 31E

2x

Explanation of Solution

Given Information: $2x,8x^2,6x^3$

Formula used: Calculate Greatest common factor using factor method of monomial.

Calculation:

The factors of 2x are: $2x=2\times x$

The factors of $8x^2$ are: $8x^2=2\times 2\times 2\times x\times x$

The factors of $6x^3$ are: $6x^3=2\times 3\times x\times x\times x$

Since $2\times x$ is common between all factors,then the greatest common factor is 2x.

The final answer: $2x$