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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?

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Kenneth S. | Algebra/Trig/Precalculus/Calculus Instructor Can Be Your TutorAlgebra/Trig/Precalculus/Calculus Instru...
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V = Bh  where B is the Base area.
 
Therefore (x3 – 3x2 + 5x – 3) = (x2 – 2)h, so h must be V/B, that is, divide (x2 – 2) INTO (x3 – 3x2 + 5x – 3) .
 
Can you take it from there (polynomial long division)?