Chapter 4, Problem 3CST

To determine

To find the greatest common factor of $14x^2,38x^3$

Answer to Problem 3CST

B. $2x^2$

Explanation of Solution

Given information:

Expression $14x^2,38x^3$

Formula Used: Factorization

Calculation:

Here, break both the numbers into its factors respectively.

So, $14x^2$ may be written as $14x^2=7\times 2\times x\times x$

And $38x^3$ may be written as $38x^3=19\times 2\times x\times x\times x$

As can be seen $2\times x\times x$ is common in both the numbers. Hence , the greatest common factor is $2x^2$ .

Since it matches to the B point. Hence answer is B $2x^2$

Conclusion-

B. $2x^2$