Answer:
x³ - 3x² + 5x - 3 / x² - 2
Step-by-step explanation:
Given in the question,
volume of a rectangular prism = x³ - 3x² + 5x - 3
base area of a rectangular prism = x² - 2
Formula for the volume of prism
V = BA x H
here BA is base area
H is height
Formula for the height of prism
H = V / BA
plug values in the formula
x³ - 3x² + 5x - 3 / x² - 2
We will do long division
x - 1
----------------------------
x² - 2 | x³ - 3x² + 5x - 3
x³ - 2x²
---------------------------
-x² + 5x - 3
-x² + 2
----------------------
5x - 5
The remainder indicates that x³ - 3x² + 5x - 3 is not divisible by x² - 2, and that means that you cannot find the exact height.
