Question

A rectangular prism is to be shaped such that its volume is 7x3 − 4x + 3. The depth and the height are x + 4 and x + 1, respectively. Answer the following questions to use synthetic division to find the length of the prism. The volume divided by the height will give the area of the bottom face of the rectangular prism (the one resting on the ground). What is the area of this face?

Answer 1

7x^2 -7x +3

Explanation:

The synthetic division of the volume by the height is shown below.

(7x^3 -4x +3)/(x +1) = 7x^2 -7x +3

The area of the bottom face is 7x^2 -7x +3.