Question

A jewelry box has a volume of x3 + 7x2 + 7x – 15 cm3 and the height is x + 3 cm. Find the polynomial that would represent the area of the bottom of the jewelry box? Explain your reasoning

Answer 1

volume = area of the bottom * the height

Answer 2

\[x^3 + 7x^2 + 7x – 15=(x+3) (x-1) (x+5)\]

Answer 3

area of bottom = volume/height

Answer 4

so if the height is \(x+3\) that makes the rectagle \((x-1)(x+5)\)