Answer:
Hence, the height, in feet, of the rectangular box is given by the polynomial [tex]h=4x^6+3x^4[/tex]
Step-by-step explanation:
The volume of a rectangular box is given by the formula:
[tex]V=length*width*height[/tex]
We are given [tex]V=4x^8+3x^6[/tex], length = x, and width = x , plugging these into the formula and figuring out height:
[tex]V=length*width*height\\4x^8+3x^6=(x)(x)(h)\\4x^8+3x^6=x^2h\\h=\frac{4x^8+3x^6}{x^2}\\h=\frac{x^2(4x^6+3x^4)}{x^2}\\h=4x^6+3x^4[/tex]
Hence, the height, in feet, of the rectangular box is given by the polynomial [tex]h=4x^6+3x^4[/tex]
