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?

a. 4x + 3

b. 4x6 + 3x4

c. 4x8 + 3x6

d. 4x7 + 3x5

The volume of the rectangular box is width*length*height.

Let h = height of the box.

Therefore

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

Note that 1/x^2 = x^ (-2).

Also, (x^a) * (x^b) = x^ (a+b)

Therefore

h = 4 (x^8) (x^-2) + 3 (x^6) (x^-2)

= 4 x^6 + 3x^4

Answer: b. 4x^6 + 3x^4