A rectangular box has a square base. The combined length of a side of the square base and the height is 20 in. Let [tex]x[/tex] be the length of a side of the base of the box.

Write a polynomial function in factored form modeling the volume [tex]V[/tex] of the box.

Function is in the attachment below.

Answered by Anonymous | 2024-06-10

V = (l)(w)(h) V = (x)(x)(20-x) V = x²(20-x) V = -x³ + 20x²

Answered by chipperrider | 2024-06-10

The volume of the rectangular box with a square base can be modeled by the polynomial function V = − x 2 ( x − 20 ) . Here, x represents the length of a side of the base, and the height is determined by the combined total of x and height being 20 inches. This polynomial is expressed in factored form.
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Answered by Anonymous | 2025-03-25