Question

A rectangular box is x feet long and x feet wide. The volume of the box is (4x^8+3x^6) cubic feet. What polynomial represents the height of the box in feet?
A.4x+3
B.4x^6+3x^4
C.4x^8+3x^6
D.4x^7+3x^5

Answer 1

The answer should be B.
Volume=width*height*length
so V=x*x*h=4x^8+3x^6
x^2*h=x^4(4x^2+3)
isolate h on the left side to solve for it
h=x^4(4x^2+3)/x^2
h=4x^6+3x^4

Answer 2

thank you