eliott was trying to factor 6x² - 18. he found that the greatest common factor of these terms was 6 and made…

eliott was trying to factor 6x² - 18. he found that the greatest common factor of these terms was 6 and made an area model: width 6 6x² - 18 what is the width of eliotts area model? width =

eliott was trying to factor 6x² - 18. he found that the greatest common factor of these terms was 6 and made an area model: width 6 6x² - 18 what is the width of eliotts area model? width =

Answer

Answer:

$x^{2}-3$

Explanation:

Step1: Recall area - model concept

Area of a rectangle = length×width. Here length = 6, and area = $6x^{2}-18$.

Step2: Use division to find width

Width=$\frac{6x^{2}-18}{6}$.

Step3: Divide each term

$\frac{6x^{2}}{6}-\frac{18}{6}=x^{2}-3$.