The volume of a rectangular prism is (x ^ 3 - 3x ^ 2 + 5x - 3), and the area of its base is (x^ 2 - 2),. If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

Question

Mathematics

Gallegos

13 August, 00:35

The volume of a rectangular prism is (x ^ 3 - 3x ^ 2 + 5x - 3), and the area of its base is (x^ 2 - 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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Answers (1)

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Faith Cunningham · Answer 1

Step-by-step explanation:

volume = base area*height

x^3-3x^2+5x-3=x^3-x^2-2x^2+2x+3x-3

=x^2 (x-1) - 2x (x-1) + 3 (x-1)

= (x-1) (x^2-2x+3)

i think you are missing something.

if base area=x^2-2x+3

then height=x-1