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The length of the box is x
The width of the box is 4 inches less than the length

The height of the box is 1 inch less than the width.

Give a polynomial that represents the volume of the Amazon box.

Respuesta :

A polynomial that represents the volume of the Amazon box is; V(x) = x³ - 6x² + 5x

How to calculate the volume of a box

  • Length of box = x
  • Width of the box is 4 inches less than the length. Thus; width = x - 4
  • Height is said to be 1 inch less than the width. Thus; height = x - 4 - 1 = x - 5

Now, the formula for volume of a box is;

V = length × width × height

Thus;

V = x • (x - 1) • (x - 5)

V = x(x² - x - 5x + 5)

V = x(x² - 6x + 5)

V(x) = x³ - 6x² + 5x

In conclusion, the polynomial that represents the volume of the Amazon box is V(x) = x³ - 6x² + 5x

Read more on volume of a box at; https://brainly.com/question/15532376

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