Question

A rectangular box is x feet long and x feet wide. The volume of the box is 4x8 + 3x6 cubic feet. What polynomial represents the height of the box in feet?

Choices are:

A. 4x + 3
B. 4x6 + 3x4
C. 4x8 + 3x6
D. 4x7 + 3x5

Answer 1

Volume = Length * Width * Height

V = LWH

4x^8 + 3x^6 = x*x*H

4x^8 + 3x^6 = x^2*H

(4x^8 + 3x^6)/(x^2) = H

H = (4x^8 + 3x^6)/(x^2)

H = (x^2(4x^6 + 3x^4))/(x^2)

H = (1(4x^6 + 3x^4))/(1)

H = 1(4x^6 + 3x^4)

H = 1*4x^6 + 1*3x^4

H = 4x^6 + 3x^4


There's a lot going on here, but the basic idea is to isolate H and simplify as much as you can.