The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). if the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

height  = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)

Step-by-step explanation:

We know that the volume of a rectangular prism is the product of its base area and height

Volume_prism = area_base *  height

height =  Volume_prism /  area_base

Volume_prism  = (x^3 – 3x^2 + 5x – 3)

area_base = (x^2 – 2)

height =  Volume_prism /  area_base

height  = (x^3 – 3x^2 + 5x – 3) / (x^2 – 2)

Please see attached image

i believe the correct answer is b.