Question

The area of a rectangle is represented by the function x3 − 2x2 − 40x − 64. The width of the rectangle is x + 4. Find the expression representing the length of the rectangle.

Answer 1

Answer: Length = x² - 6x - 16

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as. Area = length × width

Length = Area/width

The area of a rectangle is represented by the function

x³ - 2x² - 40x - 64. The width of the rectangle is x + 4. Therefore,

Length = (x³ - 2x² - 40x - 64)/(x + 4)

We would apply the method of long division. The steps are shown in the attached photo. From the photo,

Length = x² - 6x - 16