Question

Yun was trying to factor 7x^2-14x. He found that the greatest common factor of these terms was 7x and made an area model. What is the width of yuns area model?

Answer 1

the width of yuns area model is either 7x or (x - 2).

Explanation:

Since yun is trying to factor 7x² - 14x and the greatest factor is 7x.

Thus,he will get;

7x(x - 2)

Now,since he made an area model. The area of a rectangular model is:

Area = Length x Width.

Now, let's compare this area with the factorization of yun.

We'll see that;

The length is either 7x or (x - 2)

Similarly, the width is either 7x or (x - 2).

Thus, the width of yuns area model is either 7x or (x - 2).