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Mathematics, 01.12.2020 17:10 kev71

A polynomial equation of degree three, p(x), is used to model the volume of a rectangular box. The graph of p(x) has x-intercepts at (-2, 0), (10, 0), and (14, 0).

Consider the following statements:

I. The equation of p(x) = (x – 2)(x + 10)(x + 14).

II. The equation of p(x) = (x + 2)(x – 10)(x – 14).

III. The maximum volume occurs when x = 10.

IV. The volume of the box is 0 when x = 10.

Which of the statements regarding p(x) could be TRUE?

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