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
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Answer:
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·˚ * I see your answer up in the stars! It's x^2 − 6x − 16 or C on your FLVS quiz!
Step-by-step explanation:
If area = length * width and our width is given as x + 4, then the length is found by dividing the area by the width; You could do that using long division, but it's easier using synthetic division. That's what we'll do here for example.
-4 | 1 -2 -40 -64
This is only the start! The -4 inside the box comes from the factor you are dividing by. If x + 4 = 0, then x = -4.. The numbers after are the coefficients from each descending power of x. Multiply the -4 by the 1 and put that product up under the -2 and add to get:
-4 | 1 -2 -40 -64
After you finish the multiplication and simplification process you receive your given answer = x^2 − 6x − 16
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